Technical Communique: Performance of an adaptive algorithm for sinusoidal disturbance rejection in high noise

Authors:
Marc Bodson
Affiliations:
Department of Electrical Engineering, University of Utah, 50 S Central Campus Dr Rm 3280, Salt Lake City, UT 84112 USA
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 1
Cited 2

Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency

Automatica (Journal of IFAC)

Scheduled control for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies

Automatica (Journal of IFAC)
Disturbance management design for a holonic multiagent manufacturing system by using hybrid approach

Applied Intelligence

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Abstract

The paper proposes a discrete-time algorithm for the rejection of sinusoidal disturbances of unknown frequency. The algorithm is adapted from an existing continuous-time algorithm and the overall nonlinear system is analyzed using a linear approximation. The paper shows that the noise rejection properties may be predicted using an in-phase/quadrature decomposition of the noise similar to the one encountered in the theory of phase-locked loops. Estimates are obtained for the standard deviations of the plant output and of the adaptive parameters. Simulations validate the predictions of the analysis, despite the nonlinear nature of the adaptive system and the high level of noise applied.