Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
