Lam, Hak Keung

Sang, Song

Xie, Wen Bo

Zhang, Jian

English

For the stability analysis of a polynomial fuzzy system, a new polynomial membership function approach is proposed to reduce conservatism. In this article, based on a state-feedback closed-loop system, a polynomials fitting method is utilized, and an improved membership function transformation technique is proposed to approximate the membership functions of the fuzzy system. Then, the membership-function-dependent polynomial-based stability conditions are derived. The obtained polynomial membership functions and approximation errors will be involved in the stability analysis process. Based on the sum-of-squares optimization technique, polynomial conditions can be directly solved. Finally, by several numerical and practical examples, conservatism reduction effects are shown by comparisons with existing methods. </p

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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

https://kclpure.kcl.ac.uk/ws/files/158595463/A_Polynomial_Membership_Function_Approach_for_Stability_Analysis_of_Fuzzy_Systems_Accepted_Author_Manuscript_.pdf

A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

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