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Further Study on Observer Design for Continuous-Time Takagi-Sugeno Fuzzy Model with Unknown Premise Variables via Average Dwell Time

Research output: Contribution to journalArticle

Likui Wang, Hak Keung Lam

Original languageEnglish
Article number8818372
Pages (from-to)4855-4860
Number of pages6
JournalIEEE Transactions on Cybernetics
Volume50
Issue number11
DOIs
PublishedNov 2020

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Abstract

This article further studies the problem of observer design for the continuous-time Takagi-Sugeno (T-S) fuzzy system with unmeasurable premise variables. A membership function-dependent Lyapunov function is designed to obtain the observer-based controller. Different from the existing results, a switching method is proposed to deal with the time derivative of membership functions. Several problems such as, too many parameters, and the small local stabilization region in the existing papers are solved by applying the switching method. In addition, two algorithms are designed to obtain the controller gains and observer gains. In the end, two examples are provided to demonstrate the effectiveness of the proposed approach.

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