Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems
This paper addresses the problem of finite-time H∞ 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 H∞...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/205727 |
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| Summary: | This paper addresses the problem of finite-time H∞ 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 H∞ stabilization via observer-based
state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic
finite-time H∞ 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. |
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| ISSN: | 1110-757X 1687-0042 |