An improved result for observer-based H∞ fuzzy control

Author

Tseng, Kuan-Hsuan ; Kau, Shih-Wei ; Lu, Chi-Chiuan ; Chiu, Te-Yi ; Fang, Chun-Hsiung

Author_Institution

Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung

fYear

2008

fDate

21-24 Sept. 2008

Firstpage

1368

Lastpage

1373

Abstract

This paper deals with the observer-based H_infin control problem for T-S fuzzy systems. By Lyapunov stability and the three index combination technique, a new nonlinear matrix inequality condition for the existence of an observer-based H_infin controller is derived. To solve controllers with LMI algorithms, a set of LMI conditions which are necessary and sufficient to the derived nonlinear condition are developed as well. It can be shown that the present result is more relaxed than the existing ones and includes them as special cases.

Keywords

H^infin control; Lyapunov methods; fuzzy control; linear matrix inequalities; observers; LMI algorithms; Lyapunov stability; T-S fuzzy systems; nonlinear matrix inequality condition; observer-based H_infin fuzzy control; three index combination technique; Control systems; Feedback control; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Power system modeling; Size control; H∞ control; T-S fuzzy systems; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Cybernetics and Intelligent Systems, 2008 IEEE Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-1673-8

Electronic_ISBN

978-1-4244-1674-5

Type

conf

DOI

10.1109/ICCIS.2008.4670755

Filename

4670755