Stability robustness in linear state-space models with structured time-varying uncertainties
作者:
J. S. LUO,
X. F. ZHANG,
A. JOHNSON,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 60,
issue 3
页码: 435-450
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408921474
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper we analyse the stability robustness of linear continuous-time and discrete-time systems with structured time-varying uncertainties. The system to be controlled is described by the usual state-space formulation but includes time-varying uncertainties. The first new robust stability sufficient condition we have derived in this paper may become the necessary and sufficient condition of system stability in some situations. The second new condition is always less conservative than the sufficient condition recently proposed by Sobelet al., (1989). The third new condition, using the similarity transformation, provides the possibility of getting even less conservative results. In deriving these new conditions we also present some new lemmas which are valuable in related research. The results are extended to linear discrete-time systems and some illustrative examples are given.
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