Stabilization of Nonlinear Singularly Perturbed Multiple Time-Delay Systems by Dither

[+] Author and Article Information
Feng-Hsiag Hsiao

Department of Electrical Engineering, Chang Gung College of Medicine & Technology, 259, Wen-Hwa 1st Road, Kwei-San, Taoyuan Shian, Taiwan 333

Jiing-Dong Hwang

Institute of Electronic Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 320

J. Dyn. Sys., Meas., Control 118(1), 176-181 (Mar 01, 1996) (6 pages) doi:10.1115/1.2801142 History: Received January 05, 1993; Revised November 22, 1993; Online December 03, 2007


Dither is a high frequency signal injected into nonlinear systems for the purpose of improving their performance. Stability of the dithered nonlinear singularly perturbed multiple time-delay system is investigated by deriving its corresponding dithered reduced-order model and by using the relaxed method to analyze stability of the dithered reduced-order model when the frequency of dither is sufficiently high. Moreover, if the singular perturbation parameter is sufficiently small, then stability of the relaxed model would imply stability in finite time of the dithered nonlinear singularly perturbed multiple time-delay system.

Copyright © 1996 by The American Society of Mechanical Engineers
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