Title :
Constraint on Fuzzy Controller with Relaxing LMIs Conservatism
Author :
Han, Hugang ; Chen, Chun-Xiang ; Tanaka, Toshijiro
Author_Institution :
Prefectural Univ. of Hiroshima, Minami-ku
Abstract :
This paper deals with stability analysis and control design for a class of nonlinear systems with input constraint when using T-S fuzzy model. After leading the control design to LMIs approach, the attention is paid to: (1) how to easy the LMIs conditions so that the system is asymptotically stable in a so-called ellipsoid to be made as large as possible; (2) how to relax the LMIs conditions so that the LMIs problem is more feasible. Also a few examples are given to illustrate the theoretical analysis.
Keywords :
asymptotic stability; control system analysis; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; T-S fuzzy model; asymptotic stability; control design; ellipsoid; fuzzy controller constraint; linear matrix inequalities; nonlinear systems; stability analysis; Control design; Design automation; Ellipsoids; Fuzzy control; Fuzzy sets; Fuzzy systems; Lyapunov method; Mechatronics; Nonlinear control systems; Nonlinear systems; Fuzzy controller; LMIs conservatism; ellipsoid; input constraint;
Conference_Titel :
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0828-3
Electronic_ISBN :
978-1-4244-0828-3
DOI :
10.1109/ICMA.2007.4303963