Title :
Fuzzy descriptor systems: stability analysis and design via LMIs
Author :
Taniguchi, Tadanari ; Tanaka, Kazuo ; Yamafuji, Kazuo ; Wang, Hua O.
Author_Institution :
Dept. of Mech. & Control Eng., Univ. of Electro-Commun., Japan
Abstract :
A fuzzy descriptor system is defined. Six kinds of stability conditions for the fuzzy descriptor system are derived and represented in terms of linear matrix inequalities (LMIs). The stability analysis is reduced to a problem of finding a common Lyapunov function. An LMI design approach is employed to find stable feedback gains and a common Lyapunov function
Keywords :
Lyapunov methods; control system analysis; control system synthesis; feedback; fuzzy systems; stability; stability criteria; common Lyapunov function; fuzzy descriptor systems; linear matrix inequalities; stability analysis; stability conditions; stable feedback gains; Bismuth; Control engineering; Equations; Feedback; Fuzzy control; Fuzzy systems; Input variables; Linear matrix inequalities; Lyapunov method; Stability analysis;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786165