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State and Output Feedback Controller Design of Takagi-Sugeno Fuzzy Singular Fractional Order Systems

Xuefeng Zhang* and Kaijing Jin
International Journal of Control, Automation, and Systems, vol. 19, no. 6, pp.2260-2268, 2021

Abstract : This paper investigates the admissibility issue of a class of singular fractional order nonlinear systems based on Takagi-Sugeno (T-S) fuzzy model. First, the fuzzy model and the state and output feedback controllers share the different membership functions. Then, we propose the methods about designing the fuzzy state and output feedback controllers, which guarantee the asymptotical stability of closed-loop systems. Next, the equality constraint existing in most of admissibility theorems is eliminated and strict linear matrix inequalities (LMIs) are obtained. Finally, two numerical simulation examples are given to illustrate the effectiveness of the proposed methods.

Keyword : Admissibility, fractional order systems, output feedback, singular systems, state feedback, Takagi-Sugeno fuzzy systems.

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