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Passive Fuzzy Controller Design via Observer Feedback for Stochastic Takagi-Sugeno Fuzzy Models with Multiplicative Noises

Wen-Jer Chang, Liang-Zhi Liu, and Cheung-Chieh Ku
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.550-557, 2011

Abstract : This paper investigates the fuzzy control problem of a class of nonlinear continuous-time stochastic systems with achieving the passivity performance. A model-based observer feedback fuzzy control utilizing the concept of so-called parallel distributed compensation (PDC) is employed to stabilize the class of nonlinear stochastic systems that are represented by the Takagi-Sugeno (T-S) fuzzy models. Based on the Lyapunov criteria, the Linear Matrix Inequality (LMI) technique is used to synthesize the observer feedback fuzzy controller design such that the closed-loop system satisfies stability and passivity constraints, simultaneously. Finally, a numerical example is given to demonstrate the applicability and effectiveness of the proposed design method.

Keyword : Observer feedback fuzzy control, parallel distributed compensation, passivity property, Takagi-Sugeno fuzzy model

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