A linear matrix inequality approach for robust control of systems with delayed states

This paper addresses the robust stabilization problem for uncertain systems with delayed states. The parameter uncertainties are unknown but norm-bounded and the delay is time-varying. In this study, a linear matrix inequality (LMI) approach for robust stability analysis for the nominal unforced sys...

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Bibliographic Details
Published in:European journal of operational research 2000-07, Vol.124 (2), p.332-341
Main Authors: Li Da, Xu, Cheng, Chuwang, Tang, Bingyong
Format: Article
Language:English
Subjects:
Complexity
Control
Control systems
Mathematical models
Modeling
Operations research
Optimization
Studies
Theory
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Summary:This paper addresses the robust stabilization problem for uncertain systems with delayed states. The parameter uncertainties are unknown but norm-bounded and the delay is time-varying. In this study, a linear matrix inequality (LMI) approach for robust stability analysis for the nominal unforced system and a method for robust stabilization for a class of uncertain delay systems via linear memoryless state feedback control are presented. The results depend on the size of the delay and are given in terms of linear matrix inequalities.
ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(99)00384-7