New approach to time-domain analysis for stability robustness of dynamic systems

Yau Tarng Juang, Te Son Kuo, Chen Fa Hsu

研究成果: 雜誌貢獻期刊論文同行評審

27 引文 斯高帕斯(Scopus)

摘要

This paper presents a new approach to the analysis of the stability robustness of dynamic systems in state-space models. By continuously perturbing the state matrix, instead of solving the Lyapunov equation, an elegant stability robustness fundamental is derived. Subsequently, the allowable norm bound of the error matrix can be obtained under weakly structured perturbations, and the magnitude bound on individual elements of the error matrix can be obtained under highly structured perturbations. The merits of the theorems and corollary developed are demonstrated by two examples where the results achieved are much better than those already published in the literature. The concept that the perturbed state matrix would depend on the operating frequencies is also introduced.

原文???core.languages.en_GB???
頁(從 - 到)1363-1987
頁數625
期刊International Journal of Systems Science
18
發行號7
DOIs
出版狀態已出版 - 1987

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