Title :
Robust Fuzzy Control for a class of Fuzzy Impulsive Systems with Parametric Uncertainties
Author :
Caigen, Zhou ; Haibo, Jiang ; Qi, Wang ; Jianjiang, Yu
Author_Institution :
Yancheng Teachers Coll., Yancheng
Abstract :
This paper discusses the problem of robust fuzzy control for a class of nonlinear uncertain fuzzy impulsive systems based on T-S fuzzy model. In presence of parametric uncertainties and unknown impulsive matrices, a scheme of robust fuzzy control via linear matrix inequality (LMI) technique is proposed. The concept of parallel distributed compensation (PDC) is employed to design the state feedback controller. By Lyapunov method, the resulting closed-loop system is shown to be globally exponential stable. By LMI technique, the problem of designing the robust fuzzy controller is translated into linear matrix inequality problem (LMIP). Simulation shows the effectiveness of the proposed controller design methodology.
Keywords :
Lyapunov matrix equations; asymptotic stability; closed loop systems; compensation; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; robust control; state feedback; uncertain systems; Lyapunov method; T-S fuzzy model; closed-loop system; global exponential stability; impulsive matrices; linear matrix inequality problem; nonlinear uncertain fuzzy impulsive systems; parallel distributed compensation; parametric uncertainties; robust fuzzy control; state feedback controller design; Bismuth; Educational institutions; Electronic mail; Fuzzy control; Fuzzy systems; Information science; Linear matrix inequalities; Robust control; State feedback; Uncertainty; Fuzzy Impulsive Systems; Linear Matrix Inequality; Parametric Uncertainties; T-S Fuzzy Model;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347071