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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems | IEEE Journals & Magazine | IEEE Xplore

A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems


Abstract:

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 sta...Show More

Abstract:

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.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 29, Issue: 8, August 2021)
Page(s): 2077 - 2087
Date of Publication: 29 April 2020

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