New approach to time-domain analysis for stability robustness of dynamic systems
作者:
YAU-TARNG JUANG,
TE-SON KUO,
CHEN-FA HSU,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 7
页码: 1363-1376
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708967116
出版商: Taylor & Francis Group
数据来源: Taylor
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.
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