Analysis and control for a T-S fuzzy chaotic system

Author

Changchun Sun ; Baoyan Zhu ; Lihua Sun ; Enliang Zhao

Author_Institution

Shenyang Jianzhu Univ., Shenyang, China

fYear

2015

fDate

23-25 May 2015

Firstpage

199

Lastpage

203

Abstract

A three-dimensional quadratic smooth continuous autonomous chaotic system with nine parameters is derived in this paper. The system exists three quadratic terms including two quadratic cross-product terms and one quadratic square term. Basic dynamical behaviors including Lyapunov exponents and dissipation are analyzed respectively. A nonlinear controller and a linear controller are designed to guarantee the closed-loop system be stable respectively via a state feedback approach. Compared with the nonlinear T-S fuzzy controller, the linear controller is simpler in structure and can stabilize rapidly the chaotic system within finite time by verifying numerical simulations.

Keywords

Lyapunov methods; closed loop systems; continuous systems; control system analysis; control system synthesis; feedback; fuzzy control; linear systems; nonlinear control systems; numerical analysis; stability; Lyapunov exponents; T-S fuzzy chaotic system; Takagi-Sugeno system; closed-loop system stability; controller design; dissipation analysis; finite time; linear controller; nonlinear controller; numerical simulation; quadratic cross-product terms; quadratic square term; state feedback approach; three-dimensional quadratic smooth continuous autonomous chaotic system; Chaos; Closed loop systems; Linear matrix inequalities; Numerical simulation; State feedback; Three-dimensional displays; Chaotic Attractor; Chaotic System; Lyapunov Exponents; State Feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7161690

Filename

7161690