Improvement on Stability Bounds for Singularly Perturbed

W-Q. Liu, M. Paskota, Victor Sreeram, K.L. Teo

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In this paper, first we give a new characterization for the upper bound epsilon* of the parasitic parameter epsilon in singularly perturbed systems, which ensures stability of such systems if 0 <epsilon <epsilon*. It will be shown that this upper bound is just the minimum positive eigenvalue of a matrix pair, which can be explicitly constructed from the system matrix. Secondly, based on the new characterization for the stability upper bound, an algorithm for computing this upper bound epsilon* is established. Thirdly, in order to improve the upper bound epsilon* via state feedback, an algorithm is developed. Finally, several examples are presented to illustrate the algorithms proposed in this paper.
Original languageEnglish
Pages (from-to)571-578
JournalInternational Journal of Systems Science
Volume28
Issue number6
DOIs
Publication statusPublished - 1997

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