Title :
Robust H∞ fuzzy control for nonlinear discrete-time systems by nonquadratic Lyapunov function approach
Author :
Horng, Wen-Ren ; Wang, Chung-Cheng ; Chen, Chin-Yu ; Yi, Xiu-Hao ; Fang, Chun-Hsiung
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan
Abstract :
In this paper, a new relaxed condition is proposed to deal with H∞ control for nonlinear discrete-time systems that are represented by T-S fuzzy model. The main results are derived based on the nonquadratic Lyapunov function and the non-PDC controller. The new relaxed conditions are expressed in terms of linear matrix inequalities, which can be efficiently solved by software. Finally, illustrative examples are given to show the performance of our approach.
Keywords :
H2 control; Lyapunov methods; discrete time systems; fuzzy control; linear matrix inequalities; nonlinear systems; robust control; fuzzy model; linear matrix inequalities; nonlinear discrete time systems; nonquadratic Lyapunov function; relaxed condition; robust H infintiy fuzzy control; Closed loop systems; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Robustness; Stability analysis; Uncertainty; T-S fuzzy model; linear matrix inequality; nonquadratic Lyapunov function; robust fuzzy H∞ control;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358153
