Controller Synthesis of Affine TS Fuzzy Systems based on Piecewise Lyapunov Function

Author

Li, Changbin ; Wu, Aiguo

Author_Institution

Sch. of Electr. & Autom. Eng., Tianjin Univ.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

3930

Lastpage

3933

Abstract

This paper presents a new approach for controller design of continuous-time affine TS fuzzy systems. Based on piecewise quadratic Lyapunov function, a sufficient condition of closed-loop fuzzy system is proposed. Via variable replaced, bilinear matrix inequalities (BMIs) are converted into LMIs so that control law can be solved efficiently via LMI control toolbox in MATLAB. Compared with previous works, the new method proposed in this paper can release the conservatism of using a common P matrix, and piecewise quadratic Lyapunov can be solved more effective. A simulation example is given to demonstrate feasibility of the proposed method

Keywords

Lyapunov methods; closed loop systems; continuous time systems; control engineering computing; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; P matrix; affine fuzzy system; bilinear matrix inequality; closed-loop fuzzy system; continuous-time affine TS fuzzy systems; controller synthesis; linear matrix inequality; piecewise Lyapunov function; piecewise quadratic Lyapunov function; sufficient condition; Automatic control; Control system synthesis; Control systems; Design automation; Design engineering; Electric variables control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Matrix converters; Affine fuzzy system; bilinear matrix inequality(BMI); linear matrix inequality(LMI);

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.2006.1713109

Filename

1713109