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International Journal of Systems Science Volume 41, 2010 - Issue 5
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Original Articles

On stability and stabilisation for uncertain stochastic systems with time-delay and actuator saturation

Ting Shi State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027 P.R. ChinaCorrespondence[email protected]
,
Hongye Su State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027 P.R. China
&
Jian Chu State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027 P.R. China
Pages 501-509 | Received 24 Nov 2007, Accepted 13 Mar 2009, Published online: 10 Mar 2010
 
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Abstract

This article concerns the stability analysis and design for uncertain stochastic systems with time-varying delays in state and actuator saturation. The parameter uncertainties belong to a convex polytopic set, and the delays are time varying. A sufficient condition is obtained in terms of a priori designed feedback matrix for determining if a given set is in inside the domain of attraction. Using the linear matrix inequality (LMI) approach, an estimate of the domain of attraction is presented. The problem of designing a state feedback controller such that the domain of attraction is enlarged is formulated through solving an optimisation problem with LMI constraints. A numerical example is given to illustrate the effectiveness of the proposed results.

Acknowledgement

This work is supported by The National Creative Research Groups Science Foundation of China (NCRGSFC: 60721062), The National High Technology Research and Development Program of China (863Program 2006AA04 Z182) and National Natural Science Foundation of P.R. China (NSFC: 60736021).

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