Title :
TSK fuzzy systems types II and III stability analysis: continuous case
Author :
Sonbol, Assem H. ; Fadali, M. Sami
Author_Institution :
Electr. Eng. Dept., Univ. of Nevada, Reno, NV, USA
Abstract :
We propose a new approach for the stability analysis of continuous Sugeno Types II and III dynamic fuzzy systems. We introduce the concept of fuzzy positive definite and fuzzy negative definite systems and use them in arguments similar to those of traditional Lyapunov stability theory to derive new conditions for stability and asymptotic stability for continuous Type II/III dynamic fuzzy systems. To demonstrate the new approach, we apply it to numerical examples.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; discrete time systems; fuzzy control; fuzzy systems; Lyapunov stability theory; TSK fuzzy system; asymptotic stability analysis; continuous Sugeno type II/III dynamic fuzzy system; fuzzy negative definite system; fuzzy positive definite system; Asymptotic stability; Computer aided software engineering; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Sufficient conditions; Takagi-Sugeno-Kang model; Continuous TSK systems; Lyapunov stability; stability analysis; Algorithms; Computer Simulation; Fuzzy Logic; Models, Theoretical; Systems Theory;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2005.852472
