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Abstract

In this paper, a fuzzy controller design problem is considered for the discrete-time stochastic Takagi-Sugeno fuzzy systems. The main purpose of this paper is to provide a less conservative fuzzy controller design method for the discretetime nonlinear stochastic systems, which are modeled by the T-S fuzzy models. Based on the concept of imperfect premise matching, the fuzzy controller is designed without the limitation imposed from sharing the same membership functions of fuzzy model. In other words, the imperfect premise matching technique provides a generalization approach in designing fuzzy controller. Moreover, the flexibility and robustness of proposed fuzzy controller design approach can be further enhanced than the well-known parallel distributed compensation method. Moreover, based on the Lyapunov function, the stability conditions are referred to linear matrix inequality problems for applying the convex optimal algorithm. Finally, the nonlinear stochastic truck-trailer system is provided to show the utility of the proposed fuzzy controller design method.

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