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