Title :
Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties
Author :
Lam, H.K. ; Leung, F.H.F. ; Tam, P.K.S.
Author_Institution :
Hong Kong Polytech., Hung Hom, Hong Kong
Abstract :
Presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions are derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller is given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties is given to illustrate the merits of the proposed fuzzy controller
Keywords :
control system analysis; control system synthesis; fuzzy control; matrix algebra; multivariable control systems; nonlinear control systems; robust control; uncertain systems; Lyapunov stability theory; gain design; linear matrix inequalities; nonlinear mass-spring-damper system; parameter uncertainties; robustness analysis; stability analysis; Control system analysis; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust control; Robust stability; Stability analysis; Uncertain systems;
Conference_Titel :
Fuzzy Systems, 2000. FUZZ IEEE 2000. The Ninth IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-5877-5
DOI :
10.1109/FUZZY.2000.839103