EP0731936A1 - Adaptives regelungssystem zur regelung von sich wiederholenden phänomenen - Google Patents
Adaptives regelungssystem zur regelung von sich wiederholenden phänomenenInfo
- Publication number
- EP0731936A1 EP0731936A1 EP95932087A EP95932087A EP0731936A1 EP 0731936 A1 EP0731936 A1 EP 0731936A1 EP 95932087 A EP95932087 A EP 95932087A EP 95932087 A EP95932087 A EP 95932087A EP 0731936 A1 EP0731936 A1 EP 0731936A1
- Authority
- EP
- European Patent Office
- Prior art keywords
- complex
- generate
- reference signal
- coefficients
- plant
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn
Links
- 230000003044 adaptive effect Effects 0.000 title claims abstract description 54
- 230000003252 repetitive effect Effects 0.000 title claims abstract description 24
- 238000000034 method Methods 0.000 claims description 52
- 230000010354 integration Effects 0.000 claims description 39
- 230000004044 response Effects 0.000 claims description 39
- 238000004364 calculation method Methods 0.000 claims description 29
- 239000013598 vector Substances 0.000 claims description 26
- 230000000694 effects Effects 0.000 claims description 14
- 230000001276 controlling effect Effects 0.000 abstract 1
- 230000002596 correlated effect Effects 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 9
- 230000009467 reduction Effects 0.000 description 6
- 238000001914 filtration Methods 0.000 description 5
- 230000009466 transformation Effects 0.000 description 5
- 230000006870 function Effects 0.000 description 4
- 239000011159 matrix material Substances 0.000 description 2
- 239000000203 mixture Substances 0.000 description 2
- 238000012935 Averaging Methods 0.000 description 1
- 230000008649 adaptation response Effects 0.000 description 1
- 230000001364 causal effect Effects 0.000 description 1
- 238000002485 combustion reaction Methods 0.000 description 1
- 230000003750 conditioning effect Effects 0.000 description 1
- 230000003111 delayed effect Effects 0.000 description 1
- 230000001419 dependent effect Effects 0.000 description 1
- 238000010304 firing Methods 0.000 description 1
- 238000009472 formulation Methods 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 230000008569 process Effects 0.000 description 1
- 238000005070 sampling Methods 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B5/00—Anti-hunting arrangements
- G05B5/01—Anti-hunting arrangements electric
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1781—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions
- G10K11/17813—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions characterised by the analysis of the acoustic paths, e.g. estimating, calibrating or testing of transfer functions or cross-terms
- G10K11/17815—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions characterised by the analysis of the acoustic paths, e.g. estimating, calibrating or testing of transfer functions or cross-terms between the reference signals and the error signals, i.e. primary path
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1785—Methods, e.g. algorithms; Devices
- G10K11/17853—Methods, e.g. algorithms; Devices of the filter
- G10K11/17854—Methods, e.g. algorithms; Devices of the filter the filter being an adaptive filter
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1787—General system configurations
- G10K11/17879—General system configurations using both a reference signal and an error signal
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1787—General system configurations
- G10K11/17879—General system configurations using both a reference signal and an error signal
- G10K11/17883—General system configurations using both a reference signal and an error signal the reference signal being derived from a machine operating condition, e.g. engine RPM or vehicle speed
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1787—General system configurations
- G10K11/17885—General system configurations additionally using a desired external signal, e.g. pass-through audio such as music or speech
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/30—Means
- G10K2210/301—Computational
- G10K2210/3012—Algorithms
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/30—Means
- G10K2210/301—Computational
- G10K2210/3032—Harmonics or sub-harmonics
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/30—Means
- G10K2210/301—Computational
- G10K2210/3042—Parallel processing
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/30—Means
- G10K2210/321—Physical
- G10K2210/3218—Filters other than the algorithm-related filters
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K2210/00—Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
- G10K2210/50—Miscellaneous
- G10K2210/511—Narrow band, e.g. implementations for single frequency cancellation
Definitions
- the present invention relates to an adaptive control system and method for controlling a plant subject to repetitive phenomena.
- the present invention relates to an adaptive control system which operates on in-phase and quadrature components.
- the basic principle of the closed loop adaptive control of a plant is to monitor the output of a plant and to modify the plant control signal in order that the signals output from the plant converge to a desired level. Thus the plant is being controlled to operate as desired.
- ⁇ •plant is used as a control system term to describe a system having at least one input and at least one output, where each input may effect to some degree each output.
- the reference signal In order to realign the error or output signal with the reference signal in the LMS algorithm, it is necessary for the reference signal to be filtered by a model of the response of the plant before being used by the LMS algorithm.
- WO 88/02912 discloses an adaptive control algorithm operating in the time domain.
- the computational requirements become large in view of the large number of convolution operations which must be carried out.
- the inventor of the present invention has realized that such a method of implementing a Fourier transform introduces a further delay in the updating of the coefficients. It has been realized that since the LMS algorithm performs integration in the calculation of the control coefficients, it is possible to allow the high frequency or sum components provided by the heterodyning operation to be integrated out within the LMS algorithm itself. This thus provides for an increased computation efficiency since it removes the necessary integration step. Further, this removes one limitation on the speed of the updating of the control coefficients. Further, and more importantly, the LMS algorithm operates on the principle of using the instantaneous gradient to update the control coefficients. When the output of the heterodyning operation is integrated or low pass filtered, the resultant signal will contain not only current information but information on the previous error. Therefore, the resultant in-phase and quadrature components provided by heterodyning and integrating or low pass filtering do not allow for a true instantaneous gradient descent LMS algorithm to be performed accurately. The influence of previous error values can lead to instability in the algorithm.
- the present invention provides an adaptive control system for controlling a plant subject to repetitive phenomena having at least one frequency component, the system comprising a) complex reference generator means adapted to generate a complex reference signal having in-phase and quadrature components substantially at a frequency of a said frequency component for at least one of said frequency components; b) first heterodyning means adapted to heterodyne said complex reference signal with complex control coefficients to generate at least one control signal having an in-phase component for use in the control of said plant to generate at least one desired output signal; c) update calculation means adapted to correlate frequency components in said at least one output signal with said complex reference signal to generate complex update coefficients, including second heterodyning means adapted to heterodyne said at least one output signal with a signal derived from the complex reference signal to generate said complex update coefficients comprising sum and difference components; and d) integration means adapted to integrate said complex update coefficients comprising said sum and difference components to generate said complex control coefficients.
- Another aspect of the present invention provides a method of adaptively controlling a plant subject to repetitive phenomena having at least one frequency component, the method comprising the steps of a) generating a complex reference signal having in-phase and quadrature components substantially at a frequency of a said frequency component for at least one of said frequency components; b) heterodyning said at least one complex reference signal with complex control coefficients to generate at least one control signal having an in-phase component for use in the control of said plant to generate at least one desired output signal; c) correlating frequency components in said at least one output signal with said complex reference signal to generate complex update coefficients, including the step of heterodyning said at least one output signal with a signal deriving from the complex reference signal to generate said complex update coefficients comprising sum and difference components; and d) integrating said complex update coefficients comprising said sum and difference components to generate said complex control coefficients.
- a vector product is formed which is equivalent to the vector product of said at least one output signal and the complex conjugate of said complex reference signal.
- a vector product is formed which is equivalent to the vector product of said at least one output signal, the complex conjugate of said complex reference signal and the complex conjugate of a complex model derived from the frequency response of said plant.
- the complex conjugate of the complex reference signal is taken and multiplied with the complex conjugate of a complex model derived from the frequency response of the plant.
- the product of this multiplication is then heterodyned with said at least one output signal to generate said complex update coefficients.
- said complex reference signal is multiplied with a complex model derived from the frequency response of said plant and the complex conjugate of the product of this multiplication is taken. The result of this is then heterodyned with said at least one output signal to generate said complex update coefficients.
- said complex reference signal is multiplied with a complex model derived from the frequency response of said plant and the result is heterodyned with said at least one output signal.
- the complex conjugate with the product of the heterodyning is then taken to generate said complex update coefficients.
- the complex conjugate of said complex reference signal is taken and heterodyned with said at least one output signal.
- the product of the heterodyning operation is then multiplied with the complex conjugate of a complex model derived from the frequency response of the plant to generate said complex update coefficients.
- said complex reference signal is heterodyned with said at least one output signal and the complex conjugate of the product of the heterodyning operation is taken and multiplied with a complex model derived from the frequency response of said plant to generate said complex update coefficients.
- said complex reference signal is heterodyned with said at least one output signal and the product of the heterodyning operation is multiplied with a complex model derived from the frequency response of said plant.
- the complex conjugate of the result of the multiplication is then taken to generate the complex update coefficients.
- the complex update coefficients are multiplied by a convergence coefficient before integration.
- the first heterodyning operation need only generate the in-phase components in order to reduce computation.
- the complex control coefficients are multiplied by an effort weighting term which is adjusted to reduce an excessive output.
- the present invention is applicable to a single channel system
- the production in computation provided by the present invention is particularly realized for a multi-channel system wherein there can be a plurality of complex reference signal frequency components, a plurality of control signals and output signals requiring matrices of complex control coefficients and complex model coefficients.
- the convergence coefficient and the cost function can be different for different channels, i.e. control signal to output signal paths.
- the complex control coefficients are adjusted such that the sum of the mean of the square of said at least one output signal converges towards zero. This is the conventional LMS algorithm.
- said at least one output signal is compared with a desired value and a new output signal is generated for use in the update of the complex control coefficients dependent upon any difference detected between said at least one output signal and the desired value.
- This embodiment provides the adaptive control system with the ability to adjust different frequency components to non-zero values as desired, i.e. the desired output is not zero.
- the present invention is applicable to any closed loop control system for a plant, it is particularly applicable to the active control of vibrations.
- the plant is subject to undesired repetitive acoustic vibrations and comprises at least one first transducer arranged to receive a respective said control signal, an acoustic medium, and at least one second transducer responsive to outputs from said at least one first transducer and said undesired repetitive acoustic vibrations to provide respective said output signals.
- the complex model models the frequency response of the first and second transducers and the acoustic medium.
- the sum of successive groups of samples of the product of the heterodyning between said at least one output signal and a signal derived from the complex reference signal are taken, where each group contains n samples.
- the integration performed to generate the complex control coefficients is then performed on the sums obtained and thus is carried out at a rate which is 1/n of the digital sample rate.
- the sums of successive groups of samples can be obtained by summing over n samples, by integrating over n samples or by low pass filtering with a time constant equivalent to n sample periods.
- weighted sums can be calculated such as the mean values for successive groups.
- Figure 1 is a schematic control diagram of an adaptive control system according to a first embodiment of the present invention
- Figure 2 is a schematic control diagram of an adaptive control system according to a second embodiment of the present invention.
- Figure 3 is a schematic control diagram of an adaptive control system according to a third embodiment of the present invention.
- Figure 4 is a schematic control diagram of an adaptive control system according to a fourth embodiment of the present invention.
- Figure 5 is a schematic control diagram of an adaptive control system according to a fifth embodiment of the present invention.
- Figure 6 is a schematic control diagram of an adaptive control system according to a sixth embodiment of the present invention.
- Figure 7 is a schematic control diagram of part of the adaptive control system of any one of Figures 1 to 6 modified to include effort weighting;
- Figure 8 is a block diagragm of an adaptive control system according to one embodiment of the present invention.
- the principles behind the present invention are the transformation of the error or output signals into the frequency domain, the calculation of control coefficients in the frequency domain and inverse transformation into the time domain of the control coefficients to generate a control signal.
- the present invention is concerned with the efficient transformation and inverse transformation into and out of the frequency domain as well as the efficient calculation of the control coefficients.
- control coefficients are calculated in accordance with either one of the following equations which are equivalent:
- W. is the complex control coefficient at the k iteration
- ⁇ . is the complex reference signal at the k iteration
- £ is the complex model of the frequency response of the plant
- E is the output signal at the kth iteration
- H denotes the Her itean transpose.
- Equation 2 can be considered to be a frequency domain filtered X algorithm whilst equation 1 is a filtered error algorithm.
- the filtered error algorithm in the time domain requires the filtering of the error with the time reversed impulse response of the control path. Since the control path is causal, its reversal would result in it becoming acausal. Whilst this would lead to implementation complications in the time domain, in the frequency domain, the multiplications to form the vector sum is simple in the frequency domain.
- the present invention is concerned with repetitive phenomena and since these signals can be considered as complex vectors in the frequency domain, considerable simplifications and reductions in the required processing are possible.
- the signals output from the plant are heterodyned to 0Hz by a complex reference signal at the frequency to be controlled. All the filtering or convolution that is required in the time domain becomes complex multiplication in the frequency domain. It is only necessary to perform these multiplications for the frequencies present in the reference signal and thus processing in the frequency domain is greatly reduced.
- the heterodyning operation on the signals output from the plant generates sum and difference components.
- the difference components are the 0Hz components which are of interest while the sum components, i.e. at twice the frequency, are undesired.
- these high frequency components are filtered out or the signal is integrated to remove them.
- no such filtering or integration is carried out since it has been realized that the LMS algorithm carries out integration and therefore the averaging to remove the high frequency components can be allowed to take place in the LMS algorithm itself.
- Figures 1 to 6 illustrate six different equivalent control diagrams illustrating the operation of the adaptive control system.
- the common features of Figures 1 to 6 are that the complex generator generates a complex reference signal X and this is heterodyned with the complex control coefficients Y to generate a control signal the real part of which y(t) is used to control the plant, i.e. the drive the transducers 2.
- the heterodyning operation for extracting the real or in-phase components, since there is no need to calculate the imaginary or quadrature components, in order to save processing these are not calculated and in practice no separate selection of the real or in-phase components occurs.
- the complex control coefficients Y are generated by integrating complex update coefficients.
- the integration is performed using the delay Z ⁇ .
- transducer 1 which detects the effect of the control signal y(t) on the plant and the effect of the repetitive phenomena, i.e. it detects the result of interaction between the vibration generated by the transducer 2 and the undesired vibration 3 entering the plant.
- Transducer 1 generates an error signal or output signal e(t) which is then heterodyned with a signal derived from the complex reference signal X.
- the product of the heterodyning operation is then passed on to the integrator stage.
- Figures 1 to 6 are the orders in which the complex conjugate is taken and the vectors are multiplied.
- the complex reference signal X is heterodyned with the output signal e(t) and the complex conjugate is taken of the product of the heterodyning operation.
- This complex conjugate of the product of the heterodyning operation is then multiplied with the complex conjugate of a complex model derived from the frequency response of the plant (C) and the result of the multiplication is passed on to the integrator stage after having been scaled by the convergence coefficient ⁇ .
- the complex reference signal X is heterodyned with the output signal e(t).
- the product of the heterodyning operation is then multiplied with a complex model derived from the frequency response of the plant (C).
- the complex conjugate of the result of the multiplication is then taken and passed on to the integrator stage after having been scaled by the convergence coefficient ⁇ .
- Figures 1 to 6 are the vector equivalents and the vector sum in each case is the same.
- the complex model of the frequency response of the plant will contain in-phase and quadrature coefficients for each frequency at which control is to occur.
- the complex reference generator will generate a corresponding complex reference signal over a range of frequencies and the complex model C must contain in-phase and quadrature coefficients for each frequency.
- the complex model will contain in-phase and quadrature components for each control path as well as - 14 -
- the complex model forms a three-dimensional array or matrix of in-phase and quadrature components.
- the product of the heterodyning operation with the output signal e(t) can be integrated, summed or low-pass filtered such that a sum of successive groups of samples is taken.
- eight samples of the product of the heterodyning operation could be summed and the sum then input through the integrator stage after having been scaled by the convergence coefficient. Therefore, the integrator stage will only receive new sample values at an eighth of the rate of the sample rate of the adaptive control sytem.
- the update of the control coefficients is only calculated once every eight samples although the control signal y(t) is generated every sample. This reduction in the updating of the control coefficients Y greatly reduces the computational requirements of the adaptive control system. It has been found that the update rate should be set to be greater than twice the frequency of the highest frequency being controlled in order to meet Nyquist's criterion in order to ensure control at those frequencies.
- the convergence factor ⁇ should be adjusted to compensate for the effect of the summation on the level of the calculated complex update coefficients.
- a weighted sum can be calculated such as the mean value.
- the taking of the sum of successive groups of samples can take place anywhere after the heterodyning operation on the output signal e(t) and before the integration stage.
- the most computationally efficient method is to ensure that the sum of successive groups of samples is taken before the complex model C (or complex conjugate of the complex model C) is used to multiply with a signal derived from the complex reference signal X.
- the reason for this is that the multiplications with the complex model can be greatly reduced by the value of n where n is the number of samples in a group.
- the necessity to multiply the complex model coefficients with each sample can be removed if the mean sum of the successive groups of samples is taken beforehand.
- this technique of taking the sum of successive groups of samples is particularly suited to the adaptive control system of the present invention wherein there is no integration after the heterodyning operation on the output signal e(t), the technique is also applicable to the conventional transformation technique utilizing integration after heterodyning, such as disclosed in Figure 8 of WO 88/02192.
- the technique still provides the same computational saving although the combination of the absence of the step of integrating the output of the heterodyning operation on the output signal e(t) and the summation of successive groups of samples provides for the most efficient computational technique for the adaptive control system. So long as the summation period is less than the delay in the plant, then there is no major effect on the control of the plant.
- control coefficients are updated every eighth sample and thus the integration is carried out at one eighth of the sample rate of the control signal y(t) and the output signal e(t).
- the total number of multiplication steps H(LM + 4LM + 2L) .
- FIG 7 there is shown in Figure 7 an alternative integration stage wherein an effort weighting coefficient (1 - ⁇ ) is multiplied by the output of the delay Z ⁇ .
- This alternative integrating stage can be used in any of the arrangements shown in Figures 1 to 6 and is provided to allow the control of ill conditioning brought on by, for example, non-optimal transducer positioning and can delay the onset of instability caused by an inadequate complex model.
- the effort weighting coefficient penalises excessive output from the integration stage since it is desirable to use as little power as possible to control the plant since more energy in the control signal is likely to drive more energy into the plant and so increase the excursion from the desired level away from the transducers.
- Figure 8 illustrates a practical active vibration control system for use in a motor vehicle.
- a multi-channel system is illustrated having four error sensors 42. to 42 4 , and two secondary vibration sources 37. and 37 2 .
- In a motor vehicle there is only a single engine and therefore only a single complex generator 35 is shown.
- the present invention is particularly suited to a multi-channel system.
- a signal is taken from the ignition coil 31 of the electrical system of the vehicle.
- the ignition pulse 32 so provided is shaped in a waveform shaper 33 to provide pulses 34. These pulses are used to cause the complex generator 35 to generate a complex reference signal at or substantially at the frequency of the ignition signal 32. It should be noted that it is not necessary for the complex reference generator 35 to be synchronised or phase-locked to the ignition pulse 32.
- the complex reference generator only generates a complex reference signal X. at or substantially at the frequency of the ignition pulse 32.
- the ignition pulse 32 thus provides a measure of the annoying engine noise which will reach the vehicle cabin. In a four cylinder four stroke internal combustion engine the firing frequency represented by the ignition pulses 32 is twice the rotation frequency.
- the intrusive noise generated within the vehicle cabin can typically be the second or higher order harmonic of the rotation fequency of the engine.
- the second harmonic of the rotation frequency is controlled and this is at the same frequency as the ignition frequency given by the ignition pulses 32.
- the complex reference signals X. generated by the complex generator 35 are input to the processor 36 which is provided with a memory 61.
- Four error sensors 42-. to 42. are provided within the vehicle cabin at spaced locations such as around the headlining. These microphones 42. to 42. detect the noise within the cabin.
- the output of the microphones 42. to 42. is then amplified by the amplifiers 43 and low-pass filtered by the low-pass filter 44 in order to avoid aliasing.
- the output of the low-pass filters 44 is then multiplexed by the multiplexer 45 before being digitised by the analogued digital converter 46.
- the output of the analogued digital converter e, (n) is then input into the processor 36.
- Drive signals y m (n) are then output from the processor 36 and converted into analogue signals by the digital-to-analogue converter 41.
- the output of the digital-to-analogue converter 41 is then de-multiplexed by the de-multiplexer 38.
- the de-multiplexer 38 separates the drive signals Y_(n) into separate drive signals for passage through low-pass filters 39 in order to remove high frequency digital sampling noise.
- the signals are then amplified by the amplifier 40 and output to the secondary vibration sources 37. and 37 which comprise loudspeakers provided within the cabin of the vehicle.
- loudspeakers can comprise the loudspeakers with in-car entertainment system of the vehicle. In such an arrangement the drive signals are mixed with the in-car entertainment signals for output by the loudspeakers, as is disclosed in GB 2,252,657.
- the processor is provided with the complex reference signals X. and the error signals e, (n) and outputs the drive signals y_(n) and is adapted to perform the algorithm as hereinbefore described.
- FIG 7 also shows the processor receiving a clock signal 60 from a sample rate oscillator 47.
- the processor thus operates at a fixed frequency related to the frequency of the vibrations to be reduced and the frequency as determined by the requirement to meet Nyquist's criterion.
- the processor 36 can be a fixed point processor such as the TMS 320 C50 processor available from Texas Instruments. Alternatively, the floating point processor TMS 320 C30 also available from Texas Instruments, can be used to perform the algorithm.
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Acoustics & Sound (AREA)
- Multimedia (AREA)
- General Physics & Mathematics (AREA)
- Automation & Control Theory (AREA)
- Health & Medical Sciences (AREA)
- Audiology, Speech & Language Pathology (AREA)
- General Health & Medical Sciences (AREA)
- Feedback Control In General (AREA)
- Soundproofing, Sound Blocking, And Sound Damping (AREA)
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GB9419848A GB2293898B (en) | 1994-10-03 | 1994-10-03 | Adaptive control system for controlling repetitive phenomena |
GB9419848 | 1994-10-03 | ||
PCT/GB1995/002242 WO1996010780A1 (en) | 1994-10-03 | 1995-09-20 | Adaptive control system for controlling repetitive phenomena |
Publications (1)
Publication Number | Publication Date |
---|---|
EP0731936A1 true EP0731936A1 (de) | 1996-09-18 |
Family
ID=10762227
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP95932087A Withdrawn EP0731936A1 (de) | 1994-10-03 | 1995-09-20 | Adaptives regelungssystem zur regelung von sich wiederholenden phänomenen |
Country Status (4)
Country | Link |
---|---|
EP (1) | EP0731936A1 (de) |
JP (1) | JP3732227B2 (de) |
GB (1) | GB2293898B (de) |
WO (1) | WO1996010780A1 (de) |
Families Citing this family (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP3751359B2 (ja) * | 1996-03-21 | 2006-03-01 | 本田技研工業株式会社 | 振動騒音制御装置 |
US5983168A (en) * | 1998-03-23 | 1999-11-09 | Marquip, Inc. | Phase shift accommodation in active vibration damping system |
GB0725111D0 (en) | 2007-12-21 | 2008-01-30 | Wolfson Microelectronics Plc | Lower rate emulation |
GB0725108D0 (en) * | 2007-12-21 | 2008-01-30 | Wolfson Microelectronics Plc | Slow rate adaption |
US8135140B2 (en) | 2008-11-20 | 2012-03-13 | Harman International Industries, Incorporated | System for active noise control with audio signal compensation |
US9020158B2 (en) | 2008-11-20 | 2015-04-28 | Harman International Industries, Incorporated | Quiet zone control system |
US8718289B2 (en) | 2009-01-12 | 2014-05-06 | Harman International Industries, Incorporated | System for active noise control with parallel adaptive filter configuration |
US8189799B2 (en) | 2009-04-09 | 2012-05-29 | Harman International Industries, Incorporated | System for active noise control based on audio system output |
US8199924B2 (en) | 2009-04-17 | 2012-06-12 | Harman International Industries, Incorporated | System for active noise control with an infinite impulse response filter |
US8077873B2 (en) | 2009-05-14 | 2011-12-13 | Harman International Industries, Incorporated | System for active noise control with adaptive speaker selection |
Family Cites Families (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE3786165T2 (de) * | 1986-10-07 | 1993-10-14 | Adaptive Control Ltd | Aktive vibrationskontrolle. |
GB2255256B (en) * | 1991-04-12 | 1994-11-02 | W S Atkins Engineering Science | Method of and apparatus for reducing vibrations |
JP2840139B2 (ja) * | 1991-04-24 | 1998-12-24 | ファナック株式会社 | 予見繰り返し制御装置 |
GB2271908B (en) * | 1992-10-21 | 1996-05-15 | Lotus Car | Adaptive control system |
-
1994
- 1994-10-03 GB GB9419848A patent/GB2293898B/en not_active Expired - Lifetime
-
1995
- 1995-09-20 WO PCT/GB1995/002242 patent/WO1996010780A1/en not_active Application Discontinuation
- 1995-09-20 EP EP95932087A patent/EP0731936A1/de not_active Withdrawn
- 1995-09-20 JP JP51148996A patent/JP3732227B2/ja not_active Expired - Lifetime
Non-Patent Citations (1)
Title |
---|
See references of WO9610780A1 * |
Also Published As
Publication number | Publication date |
---|---|
JP3732227B2 (ja) | 2006-01-05 |
GB2293898A (en) | 1996-04-10 |
WO1996010780A1 (en) | 1996-04-11 |
GB2293898B (en) | 1998-10-14 |
GB9419848D0 (en) | 1994-11-16 |
JPH09506444A (ja) | 1997-06-24 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
US5687075A (en) | Adaptive control system | |
US5365594A (en) | Active sound and/or vibration control | |
AU697691B2 (en) | Active noise and vibration control system accounting for time varying plant, using residual signal to create probe signal | |
EP0622778B1 (de) | Aktiver Lärmdampfer mit nicht-ganzzahliger Probeverzögerung | |
US5469087A (en) | Control system using harmonic filters | |
EP0034592A1 (de) | Verfahren zum verringern der anpassungszeit beim aufheben sich wiederholender vibrationen. | |
US8260442B2 (en) | Control system for a transducer array | |
EP0660958B1 (de) | Datenabtastungsfilter mit niedriger verzoegerung | |
EP0731936A1 (de) | Adaptives regelungssystem zur regelung von sich wiederholenden phänomenen | |
EP0654901A1 (de) | Schnelles Konvergenzsystem eines adaptiven Filters zur Erzeugung eines zeitabhängigen Signals zur Kompensation eines primären Signals | |
CA2455820C (en) | Method and apparatus for generating a set of filter coefficients for a time updated adaptive filter | |
GB2271908A (en) | Adaptive control for a noise cancelling system | |
US5652770A (en) | Sampled-data filter with low delay | |
JP3646809B2 (ja) | 時間領域適応制御システム | |
US5627746A (en) | Low cost controller | |
JP3579898B2 (ja) | 車両の振動制御装置および振動制御方法 | |
JP3419865B2 (ja) | 騒音低減装置 | |
EP0647372B1 (de) | Steuerungssystem mit harmonischen filtern | |
JP3598617B2 (ja) | サイドローブキャンセラ | |
WO1994000911A9 (en) | Control system using harmonic filters | |
JPH0719157B2 (ja) | 騒音制御装置 | |
JPH07199962A (ja) | 騒音低減装置 | |
JP2941098B2 (ja) | 騒音制御装置 | |
WO1994001810A1 (en) | Low cost controller | |
WO1994001810A9 (en) | Low cost controller |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PUAI | Public reference made under article 153(3) epc to a published international application that has entered the european phase |
Free format text: ORIGINAL CODE: 0009012 |
|
17P | Request for examination filed |
Effective date: 19960522 |
|
AK | Designated contracting states |
Kind code of ref document: A1 Designated state(s): BE DE ES FR GB IT SE |
|
17Q | First examination report despatched |
Effective date: 19981110 |
|
STAA | Information on the status of an ep patent application or granted ep patent |
Free format text: STATUS: THE APPLICATION IS DEEMED TO BE WITHDRAWN |
|
18D | Application deemed to be withdrawn |
Effective date: 19990323 |