Output tracking and synchronization of chaotic Chua's circuit with disturbances via model predictive regulator

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Original languageEnglish
Pages (from-to)810-820
Journal / PublicationChaos, Solitons and Fractals
Issue number2
Publication statusPublished - 30 Jan 2009


In this paper, we consider the output tracking and synchronization problem for a piecewise linear chaotic Chua's circuit, which is expected to follow the reference signal generated by another autonomous chaotic Chua's circuit. A novel model predictive regulator is proposed to guarantee the chaos synchronization in the presence of external disturbance. Moreover with this regulator, the optimal transient tracking performance for synchronization is ensured even when the piecewise autonomous and controlled Chua's circuits switch asynchronously. The proposed approach is highly efficient in the sense that the regulation conditions can be satisfied by solving a set of linear matrix inequalities and several Sylvester equations instead of many partial differential regulator equations in the well-known nonlinear output regulation theory. © 2007 Elsevier Ltd. All rights reserved.