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Title: Sinusoidal dither in a relay feedback system
Authors: Lim, L.H.
Loh, A.P. 
Keywords: Relay feedback systems
Sinusoidal dither
Issue Date: 2008
Citation: Lim, L.H., Loh, A.P. (2008). Sinusoidal dither in a relay feedback system. Proceedings of the American Control Conference : 1893-1898. ScholarBank@NUS Repository.
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. ©2008 AACC.
Source Title: Proceedings of the American Control Conference
ISBN: 9781424420797
ISSN: 07431619
DOI: 10.1109/ACC.2008.4586768
Appears in Collections:Staff Publications

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