Observer-Based Finite-Time Control of Singular Markovian Jump Systems

Yingqi Zhang, Wei Cheng, Xiaowu Mu and Xiulan Guo

Journal of Applied Mathematics, 2012, vol. 2012, 1-19

Abstract:

This paper addresses the problem of finite-time control via observer-based state feedback for a family of singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-time stabilization via observer-based state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic finite-time stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS. Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility problem involving linear matrix inequalities with a fixed parameter. As an auxiliary result, we also discuss the problem of finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions of singular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs. Finally, illustrative examples are given to demonstrate the validity of the proposed techniques.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:205727

DOI: 10.1155/2012/205727

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