Title :
Eigenvalue constraints for the stability of T-S fuzzy models
Author :
Zhu, Kunping ; Gonska, Heiner
Author_Institution :
Inst. of Appl. Math., East China Univ. of Sci. & Technol., Shanghai
Abstract :
This paper deals with the stability issue of T-S fuzzy models by eigenvalue analysis. Based on Lyapunov´s direct method, the stability of T-S fuzzy models can be reduced to finding a common positive definite matrix. Conditions for the existence of such a matrix are discussed in terms of eigenvalue distributions. Then, the relaxed eigenvalue constraints for the the stabilization of T-S fuzzy models are given via state feedback controllers.
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; fuzzy control; matrix algebra; stability; state feedback; Lyapunov direct method; T-S fuzzy model stability; eigenvalue analysis; eigenvalue distributions; matrix; state feedback controllers; Argon; Bismuth; Eigenvalues and eigenfunctions; Fuzzy control; Fuzzy sets; Fuzzy systems; Mathematics; Nonlinear systems; Stability analysis; State feedback;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4586471
