Title :
Stability of discrete fuzzy systems with nontriangular membership functions
Author_Institution :
Dept. of Electr. Eng., Nevada Univ., Reno, NV, USA
Abstract :
We present new results for the stability analysis of discrete dynamic fuzzy systems with nontriangular membership functions. We use arguments similar to those applied to the stability analysis of systems with triangular membership functions, including: the concept of fuzzy positive definite and fuzzy negative definite functions. We use a fuzzy Lyapunov function candidate with triangular membership functions to derive the new stability conditions for systems with nontriangular membership functions. We apply our results to two numerical examples.
Keywords :
Lyapunov methods; control system analysis; discrete systems; fuzzy control; fuzzy systems; stability; Lyapunov function; discrete dynamic fuzzy system; fuzzy negative definite functions; fuzzy positive definite functions; nontriangular membership function; stability analysis; Asymptotic stability; Control systems; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Mathematical model; Stability analysis; Takagi-Sugeno-Kang model; Testing;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470108