Title :
Local stability analysis of continuous-time Takagi-Sugeno fuzzy systems: An LMI approach
Author_Institution :
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
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;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580718
