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

Tiejun Zhang; Gang Feng

doi:10.1016/j.chaos.2007.01.092

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

Tiejun Zhang, Gang Feng

Mechanical & Nuclear Engineering

City University of Hong Kong

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	British English
Pages (from-to)	810-820
Number of pages	11
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2007.01.092
State	Published - 30 Jan 2009

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

abstract = "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.",

author = "Tiejun Zhang and Gang Feng",

note = "Funding Information: This work is supported by a Grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 1201/04E). ",

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PY - 2009/1/30

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N2 - 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.

AB - 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.

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

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