Robust synchronization of a class of uncertain chaotic systems based on quadratic optimal theory and adaptive strategy

Mohammad Ataei; Armin Iromloozadeh; Bahram Karimi

doi:10.1063/1.3524306

Robust synchronization of a class of uncertain chaotic systems based on quadratic optimal theory and adaptive strategy

Chaos. 2010 Dec;20(4):043137. doi: 10.1063/1.3524306.

Authors

Mohammad Ataei¹, Armin Iromloozadeh, Bahram Karimi

Affiliation

¹ Department of Electrical Engineering, Faculty of Engineering, University of Isfahan, Hezar-Jerib St., 8174673441 Isfahan, Iran. ataei@eng.ui.ac.ir

PMID: 21198107
DOI: 10.1063/1.3524306

Abstract

This paper presents a chaos synchronization method for a class of uncertain chaotic systems using the combination of an optimal control theory and an adaptive strategy. A quadratic optimal regulator and an adaptive control are used to represent the controller's structure. The asymptotic stability of the corresponding error dynamical system is guaranteed through Lyapunov stability analysis. The proposed controller is employed in two uncertain chaotic Lu systems, and their promising performances are illustrated.