Local Stability Analysis and Synthesis of Fuzzy Systems with Time-delay

Author

Zhou, Linna ; Zhang, QingLing ; Tong, Shaocheng

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang

Volume

1

fYear

0

fDate

0-0 0

Firstpage

66

Lastpage

70

Abstract

In this paper, we investigate the problems of local stability analysis and synthesis for T-S fuzzy systems with time-delay. Firstly, the notion of local stability for T-S fuzzy systems with time-delay is introduced. Then, by using non-quadratic Lyapunov functions and LMI technique, a sufficient condition for the open-loop system to be locally stable is derived, by which a nonlinear controller is designed. At last, an example is presented to illustrate our results

Keywords

Lyapunov methods; control system analysis; control system synthesis; delays; fuzzy systems; linear matrix inequalities; nonlinear control systems; open loop systems; stability; T-S fuzzy systems; fuzzy system synthesis; linear matrix inequalities; local stability analysis; nonlinear controller design; nonquadratic Lyapunov functions; open loop system; time delay; Control system synthesis; Control systems; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability analysis; Sufficient conditions; Fuzzy systems; Linear matrix inequalities; Local stability; Non-quadratic Lyapunov functions; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712363

Filename

1712363