WO1996013763A2 - Control system and control means to be used in such a control system, and a correlation system - Google Patents

Control system and control means to be used in such a control system, and a correlation system Download PDF

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Publication number
WO1996013763A2
WO1996013763A2 PCT/IB1995/000816 IB9500816W WO9613763A2 WO 1996013763 A2 WO1996013763 A2 WO 1996013763A2 IB 9500816 W IB9500816 W IB 9500816W WO 9613763 A2 WO9613763 A2 WO 9613763A2
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WIPO (PCT)
Prior art keywords
signal
time
correlation
deriving
delay
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PCT/IB1995/000816
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French (fr)
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WO1996013763A3 (en
Inventor
Gerrit Schootstra
Maarten Steinbuch
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Philips Electronics N.V.
Philips Norden Ab
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Application filed by Philips Electronics N.V., Philips Norden Ab filed Critical Philips Electronics N.V.
Priority to DE69524729T priority Critical patent/DE69524729T2/en
Priority to EP95931377A priority patent/EP0737331B1/en
Priority to JP51441496A priority patent/JP3869002B2/en
Publication of WO1996013763A2 publication Critical patent/WO1996013763A2/en
Publication of WO1996013763A3 publication Critical patent/WO1996013763A3/en

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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B21/00Systems involving sampling of the variable controlled
    • G05B21/02Systems involving sampling of the variable controlled electric
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B5/00Anti-hunting arrangements
    • G05B5/01Anti-hunting arrangements electric

Definitions

  • the invention relates to a control system, comprising a process with a control quantity that exhibits a periodic disturbance, measuring means for generating a measuring signal that represents said quantity, control means for controlling said quantity in response to the measuring signal, and for reducing the periodic disturbance the control means comprising delay means for delaying a measuring-signal-related input signal of the delay means over a period of time the length of a period of the periodic disturbance, means for maintaining a relationship between the delay time and the period of the periodic disturbances.
  • the invention further relates to control means to be used in such a control system.
  • the invention further relates to a measuring system.
  • a control system of the type defined above is known, for example, from GB-A-2043964 (PHN 9374).
  • PPN 9374 GB-A-2043964
  • the record carrier comprises a helical track.
  • the optical scanning device is kept on the track by the known control system. During this operation a position of the optical scanning device is adapted in response to a servotrack error signal . Since the helical track is generally situated eccentrically around the point of rotation, and, moreover, the windings of the track show eccentricity, the servotrack error signal will exhibit periodic disturbances.
  • the means for maintaining the relationship comprise analysis means for deriving an analysis signal which is indicative of a deviation between the period of the periodic disturbance and the delay time, and means for adapting the delay time of the delay means in response to the analysis signal.
  • An embodiment for the control system is characterized in that analysis means comprise deriving means for deriving as an analysis signal a correlation measuring signal which is indicative of the degree of correlation between the input signal and a delayed signal, which delayed signal is equal to the input signal but is shifted in time relative to the input signal by a time interval equal to M times the delay time T, where M is equal to Tm/Tp, with Tp being the period of the periodic disturbances and Tm a time shift for which the correlation between the input signal and a delayed version of the input signal exhibits a maximum or a minimum.
  • This embodiment is also based on the recognition that in a periodic signal the correlation between this signal and a time-shifted version of this signal exhibits a maximum or a minimum for delay times which are equal to M/N times the period of the signal.
  • control means comprise delay means for deriving, by delay, a first, a second and a third auxiliary signal from the input signal, the second and third auxiliary signals being shifted in time by a first and a second time interval respectively, relative to the first auxiliary signal, the length of the first time interval being a given period of time shorter and the length of the second time interval being a given period of time longer than M times the delay time, and deriving means for deriving as a correlation measuring signal a difference signal that is indicative of the difference of the correlation between the first and the second auxiliary signal, on the one hand, and the correlation between the first and the third auxiliary signal, on the other.
  • the sign of the difference between the two correlations simultaneously changes with the sign of the deviation between the real delay time and the desired delay time.
  • the delay time may be simply adapted in the right direction.
  • the latter embodiment for the control system comprises a correlation system according to the invention, in which second and third auxiliary signals are shifted relative to the first auxiliary signal by a first and a second time interval respectively, while the length of the first time interval is a given period of time shorter and the length of the second time interval is a given period of time longer than a reference time interval, and deriving means for deriving a difference signal that is indicative of the difference in correlation between the first and second auxiliary signals, on the one hand, and the correlation between the first and third auxiliary signals, on the other.
  • a further embodiment for the control system is characterized in that the deriving means for deriving the difference signal comprise calculating means for recurrently calculating the product of the first auxiliary signal and the difference between the second and third auxiliary signals, and calculating means for calculating a running average of the calculated products.
  • This embodiment is also based on the recognition that changes in the period of the disturbances vary only slowly compared to the period of the disturbance, so that the calculated average yields a proper measure for the difference in correlations and thus yields a proper measure for the extent and sign of the deviation of the delay time.
  • Fig. 1 shows an embodiment for a control system according to the invention
  • Figs. 2 and 4 show correlations between signals shifted in time relative to each other
  • Figs. 3 and 5 show embodiments for a control device according to the invention.
  • Fig. 1 shows an embodiment for a control system according to the invention.
  • the control system comprises a process 1, a measuring device 2 for measuring a characteristic quantity of the process 1 and for producing a measuring signal Vm which is indicative of the measured quantity, and a control device 3 for supplying a control signal Vr to the process 1 to control the characteristic quantity in response to the measuring signal Vm.
  • the process 1 is a process of a customary type in which the characteristic quantity exhibits a periodic disturbance.
  • Such processes may be a transport process in which an object is driven by a rotating motor, such as, for example, the transport of a record carrier in an optical recording device, or the transport of a rotating head in a magnetic recording device.
  • periodic disturbances may occur also in different processes from transport processes.
  • the control device 3 comprises a section 3a and a section 3b.
  • the section 3a is of a known type which includes a delay circuit 4 for effecting an enhanced suppression of the periodic disturbances, which delay circuit has a delay time T that corresponds to a period Tp of the periodic disturbances.
  • the section 3a further includes a part 5 which supplies the delay circuit 4 with an input signal Vin related to the measuring signal Vm and derives the control signal Vr in dependence on an output signal Vuit of the delay circuit 4.
  • the operation of section 3a is not essential to understanding the invention and will therefore not be described in detail.
  • GB-A 2043964 PPN 9374
  • US 4,821,168 which documents are deemed incorporated herein by reference.
  • the enhanced suppression of the periodic disturbances is only effected for disturbances whose periods Tp are accurately equal to (for the fundamental harmonic) or form an integer portion of (for the higher harmonic) the delay time T of the delay circuit 4.
  • a section 3b of the control device comprises an analysis circuit 6 for deriving an analysis signal Va which is indicative of a deviation between the period Tp of the fundamental harmonic of the periodic disturbance and the delay time T.
  • a circuit may comprise, for example, a frequency analysis circuit of a customary type which determines the dominant frequency in the measuring signal and compares the period Tp corresponding to this dominant frequency with the delay time T. The analysis signal may then indicate to what degree the period Tp deviates from the delay time T.
  • the section 3b comprises a control circuit 13 and an adapter circuit 7.
  • the adapter circuit 7 is of a customary type by which the delay time T of the delay circuit can be adapted.
  • the control circuit 13 is of a type that sets, in response to the analysis signal Va, the delay time T to a value at which the analysis signal Va indicates that the delay time T corresponds to the period Tp.
  • the adapter circuit may comprise an oscillator controlled by an analysis signal, which oscillator generates the clock pulses for controlling the delay circuit.
  • a so-called "cyclic" memory is to be used as a delay circuit, in which the pointers to the initial and final addresses of the memory are constantly adapted in response to the clock.
  • the delay time T By adapting the frequency of the clock signal, the speed at which information is shifted through the memory and thus the delay time T is adapted.
  • the adaptation of the delay time T may also be effected by adapting the number of memory elements between the input and output of the delay circuit. This may be simply effected by selecting for the production of the output signal Vuit a memory element from the series of memory elements in response to the analysis signal Va.
  • the analysis circuit comprises a correlator of a customary type deriving as an analysis signal a correlation measuring signal which is indicative of the degree of correlation between the input signal Vin and a delayed signal, the latter being equal to the input signal, but shifted in time relative to the input signal Vin by a time interval equal to the delay time T.
  • the output signal Vuit is used for the delayed signal.
  • the time average of the product of the signals Vin and Vuit may serve as a measure for the correlation between the input signal Vin and the output signal Vuit.
  • the analysis circuit may comprise a multiplier 10 for calculating the product of the signals Vin and Vuit and a low-pass filter 11 for filtering the output signal of the multiplier to determine the time average of the product of Vin and Vuit.
  • the correlation between the signals Vin and Vuit shows a maximum in the case where the period Tp is a multiple of the delay time. After all, for this value of the delay time the signals Vin and Vuit are equal, except for several non-periodic disturbances, and thus exhibit a maximum correlation.
  • Fig. 2 shows in a curve 20 the degree of correlation C between the signals Vin and Vuit plotted against delay time T.
  • the control circuit 13 may be of a type that varies the set delay time in a setting cycle and determines the optimum setting of the delay time based upon the corresponding values of the analysis signal Va and sets the delay time T to the optimum value.
  • the setting cycle may be performed once, for example, when the control system is switched on. Alternatively, however, it is possible to repeat the setting cycle at regular intervals.
  • Fig. 3 shows a further embodiment for the control device 3 according to the invention.
  • the delay circuit 4 is split up into two sections i.e. a first section 4a having a delay time T-dTl and a second section 4b having a delay time dTl.
  • the total delay between the input signal Vin and the output signal Vuit caused by the sections 4a and 4b is thus equal to T.
  • the output signal of the section 4a having a delay time T-dTl will henceforth be referenced V-.
  • the output signal Vuit is not only supplied to the section 5, but also to a delay circuit 30 which delays the signal Vuit by a time dT2.
  • Fig. 4 shows in a curve 40 the correlations C- between the signal Vin and the signal V- plotted against delay time T.
  • a curve 41 are shown the correlations C+ between the signal Vin and the signal V+ plotted against delay time T.
  • the values of dTl and dT2 are selected such that the curves 40 and 41 intersect at T equal to the period Tp.
  • the correlation curves for periodic disturbances for small areas around the maximum are to be considered symmetrical. This means that the values of dTl and dT2 may generally be selected to be equal to each other.
  • the section 3b of the control device 3 comprises a difference circuit 31, a multiplier 32 and an averaging circuit 33.
  • the signals V+ and V- are fed to the inputs of the difference circuit 31.
  • the difference circuit 31 applies to an input of the multiplier a signal that is indicative of the difference between V+ and V-. Another input of the multiplier 32 is supplied with the signal Vin. On an output of the multiplier 32 is produced a signal that is indicative of the product of the signals received on its inputs. The signal produced on the output of the multiplier 32 is fed to the averaging circuit 33.
  • the averaging circuit 33 is of a customary type, for example, a low-pass filter, which produces a signal that is a time- averaged version of the received signal.
  • the signal Va which is indicative of the difference between C+ and C-, is available on the output of the averaging circuit 32. The signal Va is then fed to the control circuit 13 which increases or reduces the delay time T in dependence on the sign and quantity of the signal Va.
  • Fig. 5 shows yet another embodiment for the control device according to the invention in which the components corresponding to those in embodiments already described are referenced by like reference characters.
  • the section 3a of the control device 3 comprises not only the delay circuit 4, but also a second delay circuit 50 for delaying the output signal Vuit by a delay time T.
  • a signal Vuit' On the output of the delay circuit 50 is produced a signal Vuit' which is delayed relative to the signal Vuit by a time interval T and thus by a time interval 2T relative to Vin.
  • the signals Vuit and Vuit' are fed to the section 5 which, in dependence on these signals, derives the control signal Vr for controlling the process 1.
  • the sections 4a, 4b, 30, 31 and 33 together form a correlation system for determining, based upon correlation techniques, whether a period of the signal fed to the device (in this case Vin) deviates from the time interval that has a given reference length (in this case T).
  • the use of this correlation system is not restricted to embodiments of a type as shown in Fig. 3, which comprise a feedback for adapting the delay time 5 in dependence on the signal Va produced by the correlation device.
  • the correlation device may be used, in principle, wherever measurements are to be made or a period accurately corresponds to a reference period, such as, for example, when musical instruments are being tuned.
  • the delay time T is set to a value at which the correlation between two signals that have been shifted by a time interval T is maximized. After all, this maximum correlation occurs in the case where T is equal to the period Tp of the periodic disturbances. There should be observed that for values of T equal to a multiple of Tp, the correlation also exhibits a maximum, so that the delay time T can also be set based upon a signal that is indicative of the correlation between two signals mutually shifted by an integer multiple of the delay time T.
  • a periodic disturbance comprises not only a fundamental harmonic, but also a number of higher harmonics having frequencies which are an integer multiple of the frequency of the fundamental harmonic.
  • the presence of such higher harmonics results in local maximums and local minimums in the correlation curve.
  • Fig. 2 shows a number of these local maximums referenced 22 and a number of the local minimums are referenced 23.
  • the delay time T can also be set based upon the position of a local minimum or local maximum. This may be effected by determining whether a maximum or minimum occurs in the correlation in the case of time shifts M times T where M is equal to Tm/Tp, and where T is the time shift at which a local minimum or a local maximum occurs in the correlation.
  • Setting the delay time T based upon a local maximum may be effected by using, for determining the correlation, signals that are not shifted by a time interval T, but a time interval M.T.
  • a setting may be obtained based upon a local maximum by using, for determining the correlation, signals that are not shifted by time intervals T+dT2 and T-dTl, but by time intervals M.T+dT2 and M.T-dTl.
  • a setting based upon local minimums in the correlation may be obtained by setting the delay time to values for which the analysis signal Va indicates a minimum correlation between the time-shifted signals.
  • control system 3 The embodiments of the control system 3 described above are all realised by so-called hard-wired circuits. It will be evident for a person skilled in the art that the control system can as well be realised by so-called program-controlled circuits, such as, for example, a microcomputer.

Abstract

In a control system a characteristic quantity of a process (1) exhibits a periodic disturbance. A measuring system (2) generates a measuring signal (Vm) which represents the characteristic quantity. A control device controls the process in response to the measuring signal (Vm). To reduce the periodic disturbance, the control device (3) comprises a delay circuit (4) which delays an input signal (Vin) related to the measuring signal (Vm) by a time interval (T) having the length of a period (Tp) of the periodic disturbance. The control device (3) comprises an analysis circuit (6) for deriving an analysis signal (Va) which is indicative of a deviation between the period of the periodic disturbance and the delay time. By means of a control circuit (13) and an adapter circuit (7), the delay time (T) is set in dependence on the analysis signal (Va) to a value for which the analysis signal (Va) indicates that the delay time (T) is equal to the period (Tp). A correlation system can be used for deriving the analysis signal (Va).

Description

Control system and control means to be used in such a control system, and a correlation system.
The invention relates to a control system, comprising a process with a control quantity that exhibits a periodic disturbance, measuring means for generating a measuring signal that represents said quantity, control means for controlling said quantity in response to the measuring signal, and for reducing the periodic disturbance the control means comprising delay means for delaying a measuring-signal-related input signal of the delay means over a period of time the length of a period of the periodic disturbance, means for maintaining a relationship between the delay time and the period of the periodic disturbances.
The invention further relates to control means to be used in such a control system.
The invention further relates to a measuring system. A control system of the type defined above is known, for example, from GB-A-2043964 (PHN 9374). In that document is described a control system to be used in an optical read device for reading optically readable disc-shaped record carriers moved in a rotating fashion relative to an optical scanning device. The record carrier comprises a helical track. The optical scanning device is kept on the track by the known control system. During this operation a position of the optical scanning device is adapted in response to a servotrack error signal . Since the helical track is generally situated eccentrically around the point of rotation, and, moreover, the windings of the track show eccentricity, the servotrack error signal will exhibit periodic disturbances. By means of a clock-controlled digital delay circuit having a delay time that corresponds to the time of one revolution of the record carrier, a control is realised which considerably suppresses the influence of the periodic disturbances on the servotracking. This high degree of suppression is obtained only for periodic disturbances whose period is accurately equal to or an integer portion of the delay time of the delay circuit. In the known system this close relationship between the delay time and the period of the disturbances is established by controlling the digital delay circuit with a clock signal that is derived by a pulse disc arranged on the drive spindle of the motor driving the record carrier. Such a pulse disc, however, is very costly.
It is an object of the invention to provide a control system in which an accurate relationship between the period of the periodic disturbances and the delay time can be realised fully electronically.
In a control system according to the invention this object is achieved in that the means for maintaining the relationship comprise analysis means for deriving an analysis signal which is indicative of a deviation between the period of the periodic disturbance and the delay time, and means for adapting the delay time of the delay means in response to the analysis signal.
An embodiment for the control system is characterized in that analysis means comprise deriving means for deriving as an analysis signal a correlation measuring signal which is indicative of the degree of correlation between the input signal and a delayed signal, which delayed signal is equal to the input signal but is shifted in time relative to the input signal by a time interval equal to M times the delay time T, where M is equal to Tm/Tp, with Tp being the period of the periodic disturbances and Tm a time shift for which the correlation between the input signal and a delayed version of the input signal exhibits a maximum or a minimum.
This embodiment is also based on the recognition that in a periodic signal the correlation between this signal and a time-shifted version of this signal exhibits a maximum or a minimum for delay times which are equal to M/N times the period of the signal. By adapting the delay time, so that there is a maximum or minimum in the correlation, there is achieved that the delay time becomes accurately equal to the period of the periodic signal.
A further embodiment is characterized in that the control means comprise delay means for deriving, by delay, a first, a second and a third auxiliary signal from the input signal, the second and third auxiliary signals being shifted in time by a first and a second time interval respectively, relative to the first auxiliary signal, the length of the first time interval being a given period of time shorter and the length of the second time interval being a given period of time longer than M times the delay time, and deriving means for deriving as a correlation measuring signal a difference signal that is indicative of the difference of the correlation between the first and the second auxiliary signal, on the one hand, and the correlation between the first and the third auxiliary signal, on the other. In this embodiment the sign of the difference between the two correlations simultaneously changes with the sign of the deviation between the real delay time and the desired delay time. This is advantageous in that, based upon this difference, the delay time may be simply adapted in the right direction. The latter embodiment for the control system comprises a correlation system according to the invention, in which second and third auxiliary signals are shifted relative to the first auxiliary signal by a first and a second time interval respectively, while the length of the first time interval is a given period of time shorter and the length of the second time interval is a given period of time longer than a reference time interval, and deriving means for deriving a difference signal that is indicative of the difference in correlation between the first and second auxiliary signals, on the one hand, and the correlation between the first and third auxiliary signals, on the other.
A further embodiment for the control system is characterized in that the deriving means for deriving the difference signal comprise calculating means for recurrently calculating the product of the first auxiliary signal and the difference between the second and third auxiliary signals, and calculating means for calculating a running average of the calculated products.
This embodiment is also based on the recognition that changes in the period of the disturbances vary only slowly compared to the period of the disturbance, so that the calculated average yields a proper measure for the difference in correlations and thus yields a proper measure for the extent and sign of the deviation of the delay time.
These and other aspects of the invention will be apparent from and elucidated with reference to the embodiments described hereinafter. In the drawings:
Fig. 1 shows an embodiment for a control system according to the invention,
Figs. 2 and 4 show correlations between signals shifted in time relative to each other, and Figs. 3 and 5 show embodiments for a control device according to the invention.
Fig. 1 shows an embodiment for a control system according to the invention. The control system comprises a process 1, a measuring device 2 for measuring a characteristic quantity of the process 1 and for producing a measuring signal Vm which is indicative of the measured quantity, and a control device 3 for supplying a control signal Vr to the process 1 to control the characteristic quantity in response to the measuring signal Vm.
The process 1 is a process of a customary type in which the characteristic quantity exhibits a periodic disturbance. Such processes may be a transport process in which an object is driven by a rotating motor, such as, for example, the transport of a record carrier in an optical recording device, or the transport of a rotating head in a magnetic recording device. It will be obvious to a person skilled in the art that periodic disturbances may occur also in different processes from transport processes. The control device 3 comprises a section 3a and a section 3b. The section 3a is of a known type which includes a delay circuit 4 for effecting an enhanced suppression of the periodic disturbances, which delay circuit has a delay time T that corresponds to a period Tp of the periodic disturbances. The section 3a further includes a part 5 which supplies the delay circuit 4 with an input signal Vin related to the measuring signal Vm and derives the control signal Vr in dependence on an output signal Vuit of the delay circuit 4. The operation of section 3a is not essential to understanding the invention and will therefore not be described in detail. For a detailed description of possible embodiments for section 3a as well as embodiments for the process 1 and measuring device 2, reference be made to GB-A 2043964 (PHN 9374) and US 4,821,168 which documents are deemed incorporated herein by reference. The enhanced suppression of the periodic disturbances is only effected for disturbances whose periods Tp are accurately equal to (for the fundamental harmonic) or form an integer portion of (for the higher harmonic) the delay time T of the delay circuit 4.
A section 3b of the control device comprises an analysis circuit 6 for deriving an analysis signal Va which is indicative of a deviation between the period Tp of the fundamental harmonic of the periodic disturbance and the delay time T. Such a circuit may comprise, for example, a frequency analysis circuit of a customary type which determines the dominant frequency in the measuring signal and compares the period Tp corresponding to this dominant frequency with the delay time T. The analysis signal may then indicate to what degree the period Tp deviates from the delay time T. Furthermore, the section 3b comprises a control circuit 13 and an adapter circuit 7. The adapter circuit 7 is of a customary type by which the delay time T of the delay circuit can be adapted. The control circuit 13 is of a type that sets, in response to the analysis signal Va, the delay time T to a value at which the analysis signal Va indicates that the delay time T corresponds to the period Tp. In the case where the delay circuit comprises a series of consecutive memory elements in which the information in the memory elements are constantly shifted to next memory elements in response to a clock pulse, the adapter circuit may comprise an oscillator controlled by an analysis signal, which oscillator generates the clock pulses for controlling the delay circuit. Preferably, a so-called "cyclic" memory is to be used as a delay circuit, in which the pointers to the initial and final addresses of the memory are constantly adapted in response to the clock. By adapting the frequency of the clock signal, the speed at which information is shifted through the memory and thus the delay time T is adapted. The adaptation of the delay time T may also be effected by adapting the number of memory elements between the input and output of the delay circuit. This may be simply effected by selecting for the production of the output signal Vuit a memory element from the series of memory elements in response to the analysis signal Va.
In the embodiment shown in Fig. 1 the analysis circuit comprises a correlator of a customary type deriving as an analysis signal a correlation measuring signal which is indicative of the degree of correlation between the input signal Vin and a delayed signal, the latter being equal to the input signal, but shifted in time relative to the input signal Vin by a time interval equal to the delay time T. In the embodiment shown in Fig. 1 the output signal Vuit is used for the delayed signal. The time average of the product of the signals Vin and Vuit may serve as a measure for the correlation between the input signal Vin and the output signal Vuit. For determining the correlation, the analysis circuit may comprise a multiplier 10 for calculating the product of the signals Vin and Vuit and a low-pass filter 11 for filtering the output signal of the multiplier to determine the time average of the product of Vin and Vuit. The correlation between the signals Vin and Vuit shows a maximum in the case where the period Tp is a multiple of the delay time. After all, for this value of the delay time the signals Vin and Vuit are equal, except for several non-periodic disturbances, and thus exhibit a maximum correlation. By way of illustration Fig. 2 shows in a curve 20 the degree of correlation C between the signals Vin and Vuit plotted against delay time T.
The control circuit 13 may be of a type that varies the set delay time in a setting cycle and determines the optimum setting of the delay time based upon the corresponding values of the analysis signal Va and sets the delay time T to the optimum value. The setting cycle may be performed once, for example, when the control system is switched on. Alternatively, however, it is possible to repeat the setting cycle at regular intervals.
Fig. 3 shows a further embodiment for the control device 3 according to the invention. In this embodiment the delay circuit 4 is split up into two sections i.e. a first section 4a having a delay time T-dTl and a second section 4b having a delay time dTl. The total delay between the input signal Vin and the output signal Vuit caused by the sections 4a and 4b is thus equal to T. The output signal of the section 4a having a delay time T-dTl will henceforth be referenced V-. The output signal Vuit is not only supplied to the section 5, but also to a delay circuit 30 which delays the signal Vuit by a time dT2. This delayed signal will henceforth be referenced V-K The signals V- and V+ are shifted in time relative to the signal Vin by a time T-dTl, T+dT2, respectively. Fig. 4 shows in a curve 40 the correlations C- between the signal Vin and the signal V- plotted against delay time T. In a curve 41 are shown the correlations C+ between the signal Vin and the signal V+ plotted against delay time T. The values of dTl and dT2 are selected such that the curves 40 and 41 intersect at T equal to the period Tp. Generally, the correlation curves for periodic disturbances for small areas around the maximum are to be considered symmetrical. This means that the values of dTl and dT2 may generally be selected to be equal to each other. Fig. 4 shows in a curve 42 the difference between the correlations C+ and C- plotted against delay time T. This difference is positive for the case where the delay time T exceeds the period Tp and negative for the case where the delay time T is smaller than Tp, so that there may be detected, based upon the sign of the difference, whether the set delay time T is too large or too small. This difference is thus pre-eminently suitable as an analysis signal Va. For determining the signal Va, which is indicative of the difference between C + and C-, the section 3b of the control device 3 comprises a difference circuit 31, a multiplier 32 and an averaging circuit 33. The signals V+ and V- are fed to the inputs of the difference circuit 31. The difference circuit 31 applies to an input of the multiplier a signal that is indicative of the difference between V+ and V-. Another input of the multiplier 32 is supplied with the signal Vin. On an output of the multiplier 32 is produced a signal that is indicative of the product of the signals received on its inputs. The signal produced on the output of the multiplier 32 is fed to the averaging circuit 33. The averaging circuit 33 is of a customary type, for example, a low-pass filter, which produces a signal that is a time- averaged version of the received signal. The signal Va, which is indicative of the difference between C+ and C-, is available on the output of the averaging circuit 32. The signal Va is then fed to the control circuit 13 which increases or reduces the delay time T in dependence on the sign and quantity of the signal Va.
Fig. 5 shows yet another embodiment for the control device according to the invention in which the components corresponding to those in embodiments already described are referenced by like reference characters. The section 3a of the control device 3 comprises not only the delay circuit 4, but also a second delay circuit 50 for delaying the output signal Vuit by a delay time T. On the output of the delay circuit 50 is produced a signal Vuit' which is delayed relative to the signal Vuit by a time interval T and thus by a time interval 2T relative to Vin. The signals Vuit and Vuit' are fed to the section 5 which, in dependence on these signals, derives the control signal Vr for controlling the process 1. From branches of the delay circuit 30 and 4 are taken signals Vi, V+ and V-, so that the signals V+ and V- are shifted in time relative to the signal V- by T+dT2 and T-dTl, respectively. The analysis signal Va is derived in similar fashion to that of the embodiment shown in Fig. 3 from the signals V+ , V- and Vi.
There is observed that the sections 4a, 4b, 30, 31 and 33 together form a correlation system for determining, based upon correlation techniques, whether a period of the signal fed to the device (in this case Vin) deviates from the time interval that has a given reference length (in this case T). The use of this correlation system is not restricted to embodiments of a type as shown in Fig. 3, which comprise a feedback for adapting the delay time 5 in dependence on the signal Va produced by the correlation device. The correlation device may be used, in principle, wherever measurements are to be made or a period accurately corresponds to a reference period, such as, for example, when musical instruments are being tuned. In the embodiments described above, the delay time T is set to a value at which the correlation between two signals that have been shifted by a time interval T is maximized. After all, this maximum correlation occurs in the case where T is equal to the period Tp of the periodic disturbances. There should be observed that for values of T equal to a multiple of Tp, the correlation also exhibits a maximum, so that the delay time T can also be set based upon a signal that is indicative of the correlation between two signals mutually shifted by an integer multiple of the delay time T.
Furthermore, there is observed that generally a periodic disturbance comprises not only a fundamental harmonic, but also a number of higher harmonics having frequencies which are an integer multiple of the frequency of the fundamental harmonic. The presence of such higher harmonics results in local maximums and local minimums in the correlation curve. Fig. 2 shows a number of these local maximums referenced 22 and a number of the local minimums are referenced 23. It will be evident to a person skilled in the art that the delay time T can also be set based upon the position of a local minimum or local maximum. This may be effected by determining whether a maximum or minimum occurs in the correlation in the case of time shifts M times T where M is equal to Tm/Tp, and where T is the time shift at which a local minimum or a local maximum occurs in the correlation. Setting the delay time T based upon a local maximum may be effected by using, for determining the correlation, signals that are not shifted by a time interval T, but a time interval M.T. For the embodiments of Figs. 3 and 5, a setting may be obtained based upon a local maximum by using, for determining the correlation, signals that are not shifted by time intervals T+dT2 and T-dTl, but by time intervals M.T+dT2 and M.T-dTl. A setting based upon local minimums in the correlation may be obtained by setting the delay time to values for which the analysis signal Va indicates a minimum correlation between the time-shifted signals.
The embodiments of the control system 3 described above are all realised by so-called hard-wired circuits. It will be evident for a person skilled in the art that the control system can as well be realised by so-called program-controlled circuits, such as, for example, a microcomputer.

Claims

CLAIMS:
1. Control system, comprising a process with a control quantity that exhibits a periodic disturbance, measuring means for generating a measuring signal that represents said quantity, control means for controlling said quantity in response to the measuring signal, and for reducing the periodic disturbance the control means comprising delay means for delaying a measuring-signal-related input signal of the delay means over a period of time the length of a period of the periodic disturbance, means for maintaining a relationship between the delay time and the period of the periodic disturbances, characterized in that the means for maintaining the relationship comprise analysis means for deriving an analysis signal which is indicative of a deviation between the period of the periodic disturbance and the delay time, and means for adapting the delay time of the delay means in response to the analysis signal.
2. Control system as claimed in Claim 1, characterized in that analysis means comprise deriving means for deriving as an analysis signal a correlation measuring signal which is indicative of the degree of correlation between the input signal and a delayed signal, which delayed signal is equal to the input signal but is shifted in time relative to the input signal by a time interval equal to M times the delay time T, where M is equal to
Tm/Tp, with Tp being the period of the periodic disturbances and Tm a time shift for which the correlation between the input signal and a delayed version of the input signal exhibits a maximum or a minimum
3. Control system as claimed in Claim 2, characterized in that the control means comprise delay means for deriving, by delay, a first, a second and a third auxiliary signal from the input signal, the second and third auxiliary signals being shifted in time by a first and a second time interval respectively, relative to the first auxiliary signal, the length of the first time interval being a given period of time shorter and the length of the second time interval being a given period of time longer than M times the delay time, and deriving means for deriving as a correlation measuring signal a difference signal that is indicative of the difference of the correlation between the first and the second auxiliary signal, on the one hand, and the correlation between the first and the third auxiliary signal, on the other
4. Control system as claimed in Claim 3, characterized in that the deriving means for deriving the difference signal comprise calculating means for recurrently calculating the product of the first auxiliary signal and the difference between the second and third auxiliary signals, and calculating means for calculating a running average of the calculated products.
5. Control system as claimed in one of the preceding Claims, characterized in that M is equal to 1.
6. Control means to be used in the control system as claimed in one of the preceding Claims.
7. Correlation system comprising delay means for generating a first, a second and a third auxiliary signal, the second and third auxiliary signals being shifted by a first and a second time interval respectively relative to the first auxiliary signal, the length of the first time interval being a given period of time shorter and the length of the second time interval being a given period of time longer than a reference time interval, and deriving means for deriving a difference signal that is indicative of the difference of the correlation between the first and the second auxiliary signal, on the one hand, and the correlation between the first and the third auxiliary signal, on the other.
8. Correlation system as claimed in Claim 7, characterized in that the deriving means for deriving the difference signal comprise calculating means for recurrently calculating the product of the first auxiliary signal and the difference between the second and third auxiliary signals, and calculating means for calculating a running average of the calculated products.
PCT/IB1995/000816 1994-10-28 1995-09-29 Control system and control means to be used in such a control system, and a correlation system WO1996013763A2 (en)

Priority Applications (3)

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DE69524729T DE69524729T2 (en) 1994-10-28 1995-09-29 CONTROL SYSTEM AND CONTROL MEANS FOR CONTROLLING A SIZE OF SUCH A CONTROL SYSTEM
EP95931377A EP0737331B1 (en) 1994-10-28 1995-09-29 Control system and control means for controlling a quantity of such a control system
JP51441496A JP3869002B2 (en) 1994-10-28 1995-09-29 Control system, control means used in such a control system, and correlation system

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EP94203147.7 1994-10-28
EP94203147 1994-10-28

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US6684114B1 (en) * 2000-03-03 2004-01-27 Tokyo Electron Limited Efficient adaptive feedforward periodic disturbance compensation
US7265932B2 (en) * 2002-12-18 2007-09-04 Koninklijke Philips Electronics N.V. Repetitive controller having reduced memory elements

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WO1996013763A3 (en) 1996-08-08
DE69524729D1 (en) 2002-01-31
DE69524729T2 (en) 2002-08-22
US5784272A (en) 1998-07-21
EP0737331B1 (en) 2001-12-19
JP3869002B2 (en) 2007-01-17
JPH09507601A (en) 1997-07-29
EP0737331A1 (en) 1996-10-16

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