H∞ stabilization of fuzzy model based generalized Lorenz chaotic systems

Author

Chuang, Chun-Fu ; Wang, Wen-June ; Chen, Ying-Jen

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Jhongli, Taiwan

fYear

2010

fDate

10-13 Oct. 2010

Firstpage

1306

Lastpage

1311

Abstract

In this study, the conditions of fuzzy model based H_∞ stabilization are presented to stabilize the generalized Lorenz chaotic systems in finite time T and with pre-specified exponential convergence rate. Let the fuzzy state feedback controller be the form of parallel distributed compensation (PDC) and be designed to achieve the finite-time stability for the closed-loop system. The concept of Lyapunov theory, finite-time stability, H_∞ control and LMI-based approach are employed to derive the main result. Finally, the simulation results have been shown the validity of the proposed method.

Keywords

H^∞ control; chaos; closed loop systems; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; state feedback; H_∞ control; H_∞ stabilization; LMI based approach; Lyapunov theory; closed-loop system; exponential convergence rate; finite time; finite-time stability; fuzzy model; fuzzy state feedback controller; generalized Lorenz chaotic systems; parallel distributed compensation; Generalized Lorenz chaotic systems; H∞ control; Takagi-Sugeno (T-S) fuzzy model; finite-time stability; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Man and Cybernetics (SMC), 2010 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1062-922X

Print_ISBN

978-1-4244-6586-6

Type

conf

DOI

10.1109/ICSMC.2010.5642439

Filename

5642439