Title :
A construction procedure of a Lyapunov function in stability analysis of fuzzy systems with singleton consequents
Author :
Lee, Chang-Hoon ; Sugeno, Michio
Author_Institution :
Dept. of Comput. Intelligence & Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
fDate :
6/21/1905 12:00:00 AM
Abstract :
A construction procedure of a quadratic Lyapunov function is proposed to analyze the stability of fuzzy systems with singleton consequents. LMI (linear matrix inequality) and sequential quadratic programming are used to find the Lyapunov function which satisfies the stability conditions. The stability conditions are classified into two parts: conditions which can be converted to LMI form by introducing slack variables and by using Schur complements, and conditions which can not be converted. The proposed method is illustrated by a numerical example
Keywords :
Lyapunov methods; fuzzy systems; matrix algebra; quadratic programming; stability; Schur complements; linear matrix inequality; quadratic Lyapunov function; sequential quadratic programming; singleton consequents; slack variables; stability analysis; Computational intelligence; Fuzzy reasoning; Fuzzy systems; Linear matrix inequalities; Linear systems; Lyapunov method; Marine vehicles; Matrix converters; Nonlinear systems; Stability analysis;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.823123
