Relaxed sufficient conditions for discrete-time uncertain fuzzy systems

Author

He, Wenhu ; Yang, Xiaoguang ; Kang, Shuxia

Author_Institution

Dept. of Math., Dalian Maritime Univ., Dalian, China

fYear

2010

fDate

26-28 May 2010

Firstpage

4100

Lastpage

4103

Abstract

A new approach to robust stability of discrete-time uncertain T-S fuzzy systems is developed in this paper. The uncertain T-S fuzzy dynamic model is used to represent a class of discrete-time uncertain complex nonlinear systems. It is shown that the uncertain T-S fuzzy dynamic model is stable using relaxed fuzzy Lyapunov method. Constructive algorithm based on linear matrix inequality technique is also proposed to obtain the stable feedback gain. Finally, a numerical simulation example is gives to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; discrete time systems; feedback; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; discrete-time uncertain T-S fuzzy systems; discrete-time uncertain complex nonlinear systems; fuzzy Lyapunov method; linear matrix inequality technique; robust stability; stable feedback gain; Control systems; Fuzzy control; Fuzzy systems; Helium; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Stability; Sufficient conditions; Uncertain systems; discrete-time uncertain T-S fuzzy systems; feedback gain; fuzzy Lyapunov method; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498422

Filename

5498422