Stabilization of linear parameter-dependent systems using eigenvalue expansion with application to two time-scale systems

Der-Cherng Liaw*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

An eigenvalue expansion method is applied to the stability analysis and stabilization of linear parameter-dependent systems in the neighborhood of a specified system parameter. The system, at the specified parameter of interest, is assumed to possess distinct eigenvalues on the imaginary axis. The asymptotic stability conditions, which rely on Taylor series expansions of the continuous extensions of the critical eigenvalues with respect to system parameters, are algebraic and are given in terms of the system dynamics and the critical eigenvectors. Asymptotically stabilizing control laws are designed for the case in which the system at the specified parameter has uncontrollable eigenvalues on the imaginary axis. Application of these results yields computational algorithms for the stability analysis and stabilization design of two time-scale linear systems.

Original languageEnglish
Pages (from-to)3373-3378
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume6
DOIs
StatePublished - 1 Dec 1990
EventProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA
Duration: 5 Dec 19907 Dec 1990

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