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H2 guaranteed cost of uncertain continuous T-S fuzzy systems by multiple Lyapunov function approach

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4 Author(s)
Wen-Ren Horng ; Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan ; Chun-Hsiung Fang ; Ching-Hsiang Lee ; Jyh-Horng Chou

In this paper, the H2 guaranteed cost control problem of uncertain continuous T-S fuzzy systems is investigated. We approach this problem by considering the multiple Lyapunov function and utilizing the non-PDC controller. Sufficient conditions for ensuring certain H2 cost as well as asymptotical stability are derived and expressed in terms of LMIs. Unlike existing approaches, the assumption of known upper bounds on the time derivative of membership functions, which is quite unrealistic, is not required anymore in the present one. Numerical examples are also given to demonstrate our approach has lower H2 guaranteed cost as well as control force in comparison with the existing ones.

Published in:

Fuzzy Systems (FUZZ), 2011 IEEE International Conference on

Date of Conference:

27-30 June 2011