Inverse tracking control of chaotic systems

Xing Hua Zhang; Jie Shen; Lei Mei; De Ming Wang

doi:10.3969/j.issn.1001-506X.2011.03.27

Inverse tracking control of chaotic systems

Xing Hua Zhang, Jie Shen, Lei Mei, De Ming Wang

COLLEGE OF ELECTRICAL ENGINEERING AND CONTROL SCIENCE

Nanjing Tech University

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

1 Scopus citations

Abstract

An inverse tracking control method of chaotic systems is proposed. Firstly, the invertibilities of two types of the continuous chaotic systems, Duffing system and Lorenz system, are proved respectively by using the nonlinear inverse system theory. Then, the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback. And the composite pseudo linear system is obtained by connecting the inverse system and original system in series. On that basis, a linear synthesis method is employed to design the closed-loop controller, which allows that the chaotic system asymptotically tracks the input reference. The proposed chaos control method is characterized by clearly physical significance, simple control structure and easy to implement. Simulation results validate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	603-606
Number of pages	4
Journal	Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics
Volume	33
Issue number	3
DOIs	https://doi.org/10.3969/j.issn.1001-506X.2011.03.27
State	Published - Mar 2011

Keywords

Chaos tracking control
Duffing system
Inverse system
Linearization decoupling
Lorenz system

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10.3969/j.issn.1001-506X.2011.03.27

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title = "Inverse tracking control of chaotic systems",

abstract = "An inverse tracking control method of chaotic systems is proposed. Firstly, the invertibilities of two types of the continuous chaotic systems, Duffing system and Lorenz system, are proved respectively by using the nonlinear inverse system theory. Then, the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback. And the composite pseudo linear system is obtained by connecting the inverse system and original system in series. On that basis, a linear synthesis method is employed to design the closed-loop controller, which allows that the chaotic system asymptotically tracks the input reference. The proposed chaos control method is characterized by clearly physical significance, simple control structure and easy to implement. Simulation results validate the effectiveness of the proposed method.",

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author = "Zhang, {Xing Hua} and Jie Shen and Lei Mei and Wang, {De Ming}",

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TY - JOUR

T1 - Inverse tracking control of chaotic systems

AU - Zhang, Xing Hua

AU - Shen, Jie

AU - Mei, Lei

AU - Wang, De Ming

PY - 2011/3

Y1 - 2011/3

N2 - An inverse tracking control method of chaotic systems is proposed. Firstly, the invertibilities of two types of the continuous chaotic systems, Duffing system and Lorenz system, are proved respectively by using the nonlinear inverse system theory. Then, the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback. And the composite pseudo linear system is obtained by connecting the inverse system and original system in series. On that basis, a linear synthesis method is employed to design the closed-loop controller, which allows that the chaotic system asymptotically tracks the input reference. The proposed chaos control method is characterized by clearly physical significance, simple control structure and easy to implement. Simulation results validate the effectiveness of the proposed method.

AB - An inverse tracking control method of chaotic systems is proposed. Firstly, the invertibilities of two types of the continuous chaotic systems, Duffing system and Lorenz system, are proved respectively by using the nonlinear inverse system theory. Then, the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback. And the composite pseudo linear system is obtained by connecting the inverse system and original system in series. On that basis, a linear synthesis method is employed to design the closed-loop controller, which allows that the chaotic system asymptotically tracks the input reference. The proposed chaos control method is characterized by clearly physical significance, simple control structure and easy to implement. Simulation results validate the effectiveness of the proposed method.

KW - Chaos tracking control

KW - Duffing system

KW - Inverse system

KW - Linearization decoupling

KW - Lorenz system

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M3 - 文章

AN - SCOPUS:79955730932

SN - 1001-506X

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Inverse tracking control of chaotic systems

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