DocumentCode
630961
Title
Local stability analysis of continuous-time Takagi-Sugeno fuzzy systems: An LMI approach
Author
Dong Hwan Lee
Author_Institution
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
fYear
2013
fDate
17-19 June 2013
Firstpage
5625
Lastpage
5630
Abstract
This paper deals with the problem of estimating invariant subsets of the domain of attraction (DA) for continuous-time Takagi-Sugeno (T-S) fuzzy systems. By employing the fuzzy Lyapunov function, a new sufficient condition is formulated in the form of linear matrix inequalitys (LMI) or eigenvalue problems (EVPs). For better solutions, an iterative LMI algorithm is also provided. Finally, examples are given to demonstrate the effectiveness of the proposed approach in comparison with existing methods in the literature.
Keywords
eigenvalues and eigenfunctions; fuzzy control; linear matrix inequalities; stability; DA; EVP; LMI approach; T-S; continuous-time Takagi-Sugeno fuzzy systems; domain of attraction; eigenvalue problems; invariant subsets; linear matrix inequalitys; local stability analysis; Complexity theory; Fuzzy systems; Jacobian matrices; Lyapunov methods; Symmetric matrices; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2013
Conference_Location
Washington, DC
ISSN
0743-1619
Print_ISBN
978-1-4799-0177-7
Type
conf
DOI
10.1109/ACC.2013.6580718
Filename
6580718
Link To Document