DocumentCode :
1051569
Title :
Robust 
Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems
Author :
Li, Tzuu-Hseng S. ; Tsai, Shun-Hung ; Lee, Jia-Zhen ; Hsiao, Ming-Ying ; Chao, Chan-Hong
Author_Institution :
Nat. Cheng Kung Univ., Tainan
Volume :
38
Issue :
2
fYear :
2008
fDate :
4/1/2008 12:00:00 AM
Firstpage :
510
Lastpage :
527
Abstract :
The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an Hinfin norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.
Keywords :
Hinfin control; asymptotic stability; closed loop systems; compensation; control system synthesis; discrete systems; fuzzy control; fuzzy systems; linear matrix inequalities; robust control; uncertain systems; Hinfin norm-bound constraint; Schur complement; closed-loop system; linear matrix inequalities; parallel distributed compensation method; robust Hinfin fuzzy controller design; robust asymptotic stability; uncertain discrete fuzzy bilinear systems; Discrete fuzzy bilinear system (DFBS); Takagi–Sugeno (T–S) fuzzy model; Takagi–Sugeno (T–S) fuzzy model; Van de Vusse example; linear matrix inequality (LMI); parallel distributed compensation (PDC); robust $H_{infty}$ control; robust $H_{ infty}$
fLanguage :
English
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Publisher :
ieee
ISSN :
1083-4419
Type :
jour
DOI :
10.1109/TSMCB.2007.914706
Filename :
4443858
Link To Document :
