Robust H infinity fuzzy control for a class of uncertain discrete fuzzy bilinear systems.
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 H(infinity) 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.
Li
Tzuu-Hseng
TH
aiRobots Laboratory, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
Tsai
Shun-Hung
SH
Lee
Jia-Zhen
JZ
Hsiao
Ming-Ying
MY
Chao
Chan-Hong
CH
D000465:Algorithms; D001185:Artificial Intelligence; D005246:Feedback; D017143:Fuzzy Logic; D016247:Information Storage and Retrieval / Q000379:methods*; D016014:Linear Models; D010363:Pattern Recognition, Automated / Q000379:methods*; D012815:Signal Processing, Computer-Assisted