Title :
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
Abstract :
This paper deals with the observer-based Hinfin 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 Hinfin 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 :
Hinfin control; Lyapunov methods; fuzzy control; linear matrix inequalities; observers; LMI algorithms; Lyapunov stability; T-S fuzzy systems; nonlinear matrix inequality condition; observer-based Hinfin 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);
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
DOI :
10.1109/ICCIS.2008.4670755