Sinusoidal Dither in a Relay Feedback System

Lim, L. H. I. and Loh, A. P. (2008) Sinusoidal Dither in a Relay Feedback System. In: 2008 American Control Conference, Seattle, Washington, 11-13 June 2008, pp. 1893-1898. ISBN 9781424420780 (doi:10.1109/ACC.2008.4586768)

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Abstract

This paper examines the effect of a sinusoidal dither in a relay feedback system. The use of dither in achieving signal stabilization and quenching of limit cycles is well known in nonlinear systems. The effect of dithering is a similar to that of forced oscillations where the external signal causes oscillations of the same frequency to occur in the system. This paper shows that FO of higher frequencies will produce a lower amplitude and achieve a reduction in the amplitude of oscillations for dither periods below a certain value, T*f . This idea is used to design a sinusoidal dither signal which results in reduced oscillation amplitudes. Analytical expressions for T*f are obtained for first and second order plants. For higher order systems, the Tsypkin Loci is used to identify T*f . Simulation studies are presented to illustrate the results.

Item Type:Conference Proceedings
Additional Information:Published in '2008 American Control Conference' ©2008 AACC
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lim, Dr Li Hong Idris
Authors: Lim, L. H. I., and Loh, A. P.
Subjects:Q Science > Q Science (General)
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
ISSN:0743-1619
ISBN:9781424420780
Copyright Holders:Copyright © 2008 AACC
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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