Robust Adaptive Compensation of Periodic Disturbances With Unknown Frequency

Single-input, single-output known stable linear systems with no zeros on the imaginary axis are considered. They are affected by disturbances which are matched by the control input. An indirect adaptive output feedback compensator is designed to attenuate the effects of continuous periodic disturban...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2014-10, Vol.59 (10), p.2760-2765
Main Authors: Marino, Riccardo, Tomei, Patrizio
Format: Article
Language:English
Subjects:
Adaptation models
Attenuation
Compensators
Convergence
Disturbances
Error signals
Fourier series
Frequency control
Frequency estimation
Harmonic analysis
Harmonics
Linear systems
Observers
Origins
Output feedback
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Summary:Single-input, single-output known stable linear systems with no zeros on the imaginary axis are considered. They are affected by disturbances which are matched by the control input. An indirect adaptive output feedback compensator is designed to attenuate the effects of continuous periodic disturbances with unknown frequency. The compensator contains an adaptive internal model which rejects a fixed number of harmonics in the Fourier series expansion of the periodic disturbance. It also contains an independent frequency estimator whose estimation error converges into an arbitrarily small neighborhood of the origin, provided that a design parameter is chosen to be sufficiently large. The adaptive compensator ensures the global exponential convergence of the closed-loop error signals to a neighborhood of the origin, whose size depends on the higher order harmonics which are neglected by the adaptive internal model.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2310060