Title :
Guaranteed Cost Control for Fuzzy System with Parametric Uncertainties via Fuzzy Lyapunov Approach
Author :
Liu, Zhukang ; Ji, Zhicheng ; Zhou, Yinghuan
Author_Institution :
Southern Yangtze Univ., Wuxi
Abstract :
This paper adopts the fuzzy Lyapunov stability theory into the analysis and design of a class of Takagi-Sugeno fuzzy systems with parametric uncertainties. The problem of designing a guaranteed cost controller is studied by formulating the fuzzy Lyapunov function of the fuzzy system, the sufficient conditions are derived by using the parallel distributed compensation (PDC) strategy. The simulation result of chaotic system shows this method has good performance. And the efficiency of Lyapunov stability theory is also illustrated.
Keywords :
Lyapunov methods; control nonlinearities; control system synthesis; fuzzy control; fuzzy set theory; stability; Takagi-Sugeno fuzzy systems; chaotic system; fuzzy Lyapunov stability theory; fuzzy system; guaranteed cost control; parallel distributed compensation strategy; parametric uncertainties; Control systems; Costs; Fuzzy control; Fuzzy systems; Uncertainty;
Conference_Titel :
Industrial Electronics and Applications, 2007. ICIEA 2007. 2nd IEEE Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0737-8
Electronic_ISBN :
978-1-4244-0737-8
DOI :
10.1109/ICIEA.2007.4318854
