Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control

doi:10.1088/1674-1056/21/6/060507

Abstract Adaptive H_∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lyapunov's stability theory, linear and nonlinear feedback control of adaptive H_∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an H_∞-norm constraint. Adaptive H_∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.

Keywords: chaotic system H_∞ synchronization generalized Hamiltonian system Lyapunov's stability theory adaptive synchronization Lorenz system Chen system

Received: 16 January 2012
Revised: 17 February 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.-a	(Nonlinear dynamics and chaos)

Corresponding Authors: Fu Shi-Hui
E-mail: fshtp@163.om

Cite this article:

Fu Shi-Hui(付士慧), Lu Qi-Shao(陆启韶), and Du Ying(杜莹) Adaptive H_∞ synchronization of chaotic systems via linear and nonlinear feedback control 2012 Chin. Phys. B 21 060507

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Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control

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Adaptive H_∞ synchronization of chaotic systems via linear and nonlinear feedback control