DocumentCode
2380047
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
fYear
2008
fDate
11-13 June 2008
Firstpage
87
Lastpage
88
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;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2008
Conference_Location
Seattle, WA
ISSN
0743-1619
Print_ISBN
978-1-4244-2078-0
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2008.4586471
Filename
4586471
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