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| DOI：10.1007/s11768-010-7080-z |
| Received:April 12, 2007Revised:February 26, 2009 |
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| Robust H-infinity fuzzy control for uncertainMarkovian jump nonlinear singular systems withwiener process |
| Aiqing ZHANG,Huajing FANG |
| (College of Mathematics and Computer Science, Jianghan University;Huazhong University of Science and Technology) |
| Abstract: |
| This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovian
jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model
is employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is to
design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all
admissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, a
prescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developed
to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a
numerical simulation is given to illustrate the effectiveness of the proposed method. |
| Key words: Fuzzy control H-infinity control Singular systems Stochastic stability Linear matrix inequality (LMI) |
