Adaptive narrow band disturbance rejection applied to an active suspension-an internal model principle approach

An adaptive regulation approach against disturbances consisting of linear combinations of sinusoids with unknown and/or time varying amplitudes, frequencies, and phases for SISO LTI discrete-time systems is considered. The new regulation approach proposed is based on constructing a set of stabilizing controllers using the Youla parametrization of stabilizing controllers and adjusting the Youla parameter to achieve asymptotic disturbance rejection. Three adaptive regulator design algorithms are presented and their convergence properties analyzed. Conditions under which the on-line algorithms yield an asymptotic controller that achieves regulation are presented. Conditions both for the case where the disturbance input properties are constant but unknown and for the case where they are unknown and time varying are given. In the case of error feedback, the on-line controller construction amounts to an adaptive implementation of the Internal Model Principle. The performance of the adaptation algorithms is illustrated through a simulation example. A companion paper [4] describes the implementation and evaluation of the algorithms for the problem of noise cancellation in an acoustic duct.

Adaptive Sinusoidal Disturbance Rejection in Linear Discrete-Time Systems—Part I: Theory

https://hal.archives-ouvertes.fr/hal-01394189/document

Benchmark on adaptive regulation—rejection of unknown/time-varying multiple narrow band disturbances

The problem of adaptive noise cancellation in an acoustic duct is discussed. An adaptive controller design approach based on parametrizing the set of stabilizing controllers using the Youla parametrization and tuning the Youla parameter to achieve regulation was presented in a companion paper [3], Three controller adaptation algorithms are imple­ mented to solve the noise cancellation problem in an acoustic duct. The experimental results indicate a mixed performance for each of the adaptation algorithms, with good performances observed only in some frequency ranges. The discrepancy between the expected and the observed performances is attributed to unmodeled nonlinearities in the speakers.

Adaptive Sinusoidal Disturbance Rejection in Linear Discrete- Time Systems— Part II: Experiments

Rejection of harmonic disturbances at the controller input via hybrid adaptive external models

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Adaptive Sinusoidal Disturbance Rejection in Linear Discrete-Time Systems—Part I: Theory

Adaptive Sinusoidal Disturbance Rejection in Linear Discrete- Time Systems— Part II: Experiments