Robust Stabilization of Singular Stochastic Systems with Delays
| Authors: | Boukas El-Kebir, Ecole polytechnique de Montreal, Canada
Xu Shengyuan, Nanjing University of Science and Technology, China
Lam James, University of Hong Kong, Hong Kong
Xiong Junlin, University of Hong Kong, Hong Kong |
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| Topic: | 2.5 Robust Control |
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| Session: | Robust Controller Synthesis for Stochastic Systems |
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| Keywords: | delay systems, robust control, singular systems, stabilization, stochastic systems |
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Abstract
This paper deals with a class of continuous-time uncertain singular linear systems with Markovian jump parameters and time delays. Sufficient conditions on stochastic stability and stochastic stabilizability are developed. A design algorithm for a state-feedback controller which guarantees that the closed-loop dynamic will be regular, impulse free and robustly stochastically stable is proposed in terms of the solutions to a set of coupled linear matrix inequalities.
