Stabilization of nonlinear singularly perturbed multiple time-delay systems by dither

Feng Hsiag Hsiao, Jiing Dong Hwang

Research output: Contribution to journalJournal Article peer-review

32 Scopus citations

Abstract

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 infinite time of the dithered nonlinear singularly perturbed multiple time-delay system.

Original languageEnglish
Pages (from-to)176-181
Number of pages6
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume118
Issue number1
DOIs
StatePublished - 03 1996
Externally publishedYes

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