Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7161690
