A new hyperchaotic system control via adaptive feedback design with an uncertain parameter

Author

Liu Ling ; Dong Hao

Author_Institution

State Key Lab. of Electr. Insulation & Power Equip., Xi´an Jiaotong Univ., Xi´an, China

fYear

2013

Firstpage

840

Lastpage

843

Abstract

In this paper, a novel hyperchaotic system is investigated by introducing an different additional state feedback into a modified Lorenz-like chaotic system. Based on the rigorous Lyapunov stability theory, an adaptive feedback control scheme is designed to control this hyperchaotic system with unknown parameters stable at only equilibrium point. Through Lyapunov synthesis, the closed-loop control system is proved to be uniformly bounded, and the signals of system converges to zero. Simulation results are provided to illustrate the performance of the proposed approach.

Keywords

Lyapunov methods; adaptive control; chaos; closed loop systems; control system synthesis; nonlinear control systems; stability; state feedback; uncertain systems; Lorenz like chaotic system; Lyapunov stability theory; Lyapunov synthesis; adaptive feedback control scheme; adaptive feedback design; closed-loop control system; equilibrium point; hyperchaotic system control; state feedback; uncertain parameter; Adaptive control; Chaos; Control systems; Feedback control; Lyapunov methods; Nonlinear dynamical systems; Adaptive feedback control; Chaos control; Dynamical analysis; Hyperchaotic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639544