In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. ; The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 17, number 1 (2007)
Biblioteka Uniwersytetu Zielonogórskiego
2024-04-02
2024-04-02
11
https://zbc.uz.zgora.pl/publication/88388
Nazwa wydania | Data |
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A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models | 2024-04-02 |
Han, Qing-Long Gu, Keqin Korbicz, Józef - red. Uciński, Dariusz - red.
Hamayun, Mirza Tariq Edwards, Christopher Alwi, Halim Bajodah, Abdulrahman Simani, Silvio - ed. Castaldi, Paolo - ed.
Duan, Ruirui Li, Junmin Zhang, Yanni Yang, Ying Chen, Guopei Korbicz, Józef - red. Uciński, Dariusz - red.
Zhai, Guisheng Xu, Xuping Korbicz, Józef - red. Uciński, Dariusz - red.
Rotondo, Damiano Nejjari, Fatiha Puig, Vicenç Simani, Silvio - ed. Castaldi, Paolo - ed.
Tong, Shaocheng Yang, Gengjiao Zhang, Wei Korbicz, Józef - red. Uciński, Dariusz - red.
Nikolaou, Michael Eker, S. Alper Kowalczuk, Zdzisław - red.
Thuan, Mai Viet Phat, Vu Ngoc Trinh, Hieu Cordón, Oskar - ed. Kazienko, Przemysław - ed.