LMI-based approach for stability analysis of fuzzy large-scale system with time delays

Author

Zhang, Hongbin ; Liao, Xiaofeng ; Li, Xiaodong ; Yu, Juebang

Author_Institution

Inst. of Electron. Syst., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

2

fYear

2004

Firstpage

1401

Abstract

The stability of a fuzzy large-scale system with time delays both in states and in interconnections is considered in this paper. The fuzzy large-scale system consists of J interconnected subsystems, which are represented by the Takagi-Sugeno (T-S) fuzzy models. The stability condition is derived using the Lyapunov-Krasovskii approach, combined with linear matrix inequality (LMI) techniques. A numerical example is also given to demonstrate the correctness of the theoretical result.

Keywords

Lyapunov matrix equations; delays; fuzzy control; fuzzy systems; interconnected systems; linear matrix inequalities; stability; LMI-based approach; Lyapunov-Krasovskii approach; Takagi-Sugeno fuzzy models; fuzzy large-scale system; interconnected subsystems; linear matrix inequality; stability analysis; time delays; Delay effects; Delay systems; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Large-scale systems; Linear matrix inequalities; Mathematical model; Stability analysis; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems, 2004. ICCCAS 2004. 2004 International Conference on

Print_ISBN

0-7803-8647-7

Type

conf

DOI

10.1109/ICCCAS.2004.1346437

Filename

1346437