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Fuzzy Controller Design for Discrete-time T-S Fuzzy Systems with Partially Unknown Membership Functions

Guo-Yi Liu and Juan Zhou*
International Journal of Control, Automation, and Systems, vol. 20, no. 12, pp.4050-4058, 2022

Abstract : This paper is concerned with the controller design problem for discrete-time T-S fuzzy systems with partially unknown membership functions. If the membership functions are partially unknown, then the existing stabilization conditions which are based on the parallel distributed compensator (PDC) strategy cannot be applied. To tackle this problem, a new type of fuzzy controller is proposed to close the feedback loop. Based on this new type fuzzy controller, some sufficient stabilization conditions, including membership-function-dependent and independent conditions, are given in the form of LMIs. Finally, two examples are given to illustrate the the effectiveness of the proposed fuzzy controller design approaches.

Keyword : Fuzzy controller, linear matrix inequality, T-S fuzzy systems, unknown membership functions.

 
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