Title :
Stability analysis and control of discrete-time fuzzy systems: a fuzzy Lyapunov function approach
Author :
Wang, Yan ; Sun, Zeng Qi ; Sun, Fu Chun
Author_Institution :
Dept. of Comput. Sci., Tsinghua Univ., Beijing, China
Abstract :
In this paper, a fuzzy Lyapunov function approach is applied to discrete-time fuzzy control system. Then, a new sufficient condition for the stability of the open loop system is proposed. In addition, the fuzzy PDC controller design problem is reduced to a series of BMI. By variable reduction lemma, the local state feedback gains are constructed. At last, simulation result is given to show the design procedure of the proposed method.
Keywords :
Lyapunov methods; control system synthesis; discrete time systems; fuzzy control; linear matrix inequalities; open loop systems; stability; state feedback; controller design problem; discrete-time fuzzy system; fuzzy Lyapunov function; local state feedback; open loop system; stability analysis; variable reduction lemma; Asymptotic stability; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Matrix converters; Stability analysis; State feedback; Sun;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9
