Title :
Adaptive generalized synchronization of two nonidentical hyperchaotic systems with unknown parameters
Author :
Zhao, Yan ; Zhang, Tieyan ; Miao, Lihua ; Sun, Qiuye
Author_Institution :
Dept. of Autom. Control Eng., Shenyang Inst. of Eng., Shenyang, China
Abstract :
This paper considers the generalized synchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the synchronization error system. Based on the Lyapunov stability, a new adaptive synchronization controller is designed and the asymptotic stability of the origin of the synchronization error system is proved. simulation results illustrate the correctness of the proposed generalized synchronization method.
Keywords :
Lyapunov methods; adaptive control; asymptotic stability; chaos; nonlinear control systems; synchronisation; Lyapunov stability; adaptive generalized synchronization; adaptive synchronization controller; asymptotic stability; drive system; hyperchaotic synchronization problem; nonidentical hyperchaotic system; response system state variable; stabilization control problem; synchronization error signal; unknown parameter; Adaptive control; Asymptotic stability; Biomedical engineering; Chaotic communication; Control systems; Educational institutions; Error correction; Lyapunov method; Programmable control; Sun; Generalized Hénon-Heiles hyperchaotic system; Lü hyperchaotic system; adaptive generalized synchronization; unknown parameters;
Conference_Titel :
Advanced Computer Control (ICACC), 2010 2nd International Conference on
Conference_Location :
Shenyang
Print_ISBN :
978-1-4244-5845-5
DOI :
10.1109/ICACC.2010.5487200
