A new LMI-based approach to state feedback H∞ control designs for T-S fuzzy dynamic systems

Author

Chen, Zhaona ; Jing, Yuanwei ; Jiang, Nan

Author_Institution

Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China

fYear

2010

fDate

26-28 May 2010

Firstpage

1058

Lastpage

1063

Abstract

This paper proposes a new quadratic stability condition and H_∞ control designing for Takagi-Sugeno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H_∞ control. Secondly, the paper addresses the H_∞ controller designing, and the H_∞ controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.

Keywords

H^∞ control; control system synthesis; fuzzy control; linear matrix inequalities; stability; state feedback; LMI-based approach; T-S fuzzy dynamic systems; Takagi-Sugeno fuzzy control systems; continuous-time nonlinear system; linear matrix inequalities; quadratic stability condition; stability sufficient condition; state feedback H∞ control design; Control design; Control systems; Fuzzy control; Fuzzy systems; Linear feedback control systems; Linear matrix inequalities; Nonlinear systems; Stability analysis; State feedback; Sufficient conditions; Linear Matrix Inequalities; Quadratic Stability; State Feedback H∞ Control; T-S Fuzzy Control;

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.2010.5498131

Filename

5498131