A purely adaptive controller to synchronize and control chaotic systems

M di Bernardo

doi:10.1016/0375-9601(96)00182-X

A purely adaptive controller to synchronize and control chaotic systems

M di Bernardo

Department of Engineering Mathematics

Research output: Working paper

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Abstract

Following the work presented by the author in a previous paper, a model reference adaptive controller, which requires minimal knowledge of the system structures, is synthesized to control or synchronize chaotic systems. This is achieved by exploiting the boundedness of chaotic evolutions. Moreover, when the linear term of the error equation is characterized by a Hurwitz matrix, the control law is reduced to a pure discontinuous action, whose amplitude is adaptively estimated. The method is applied to the control of a Lorenz system and the synchronization of two dentical Chua circuits

Original language	English
DOIs	https://doi.org/10.1016/0375-9601(96)00182-X
Publication status	Published - 1995

Bibliographical note

Additional information: Preprint of a paper later published by Elsevier Science, (1996) Physics Letters A, 214 (3-4), pp. 139-144. ISSN 0375-9601

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Chua circuits
adaptive controller
Hurwitz matrix
control law
Lorenz system
chaotic systems

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10.1016/0375-9601(96)00182-X

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http://hdl.handle.net/1983/282

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1 Article (Academic Journal)

A purely adaptive controller to synchronize and control chaotic systems
Di Bernardo, M., 1996, In: Physics Letters A. 214, p. 139 - 144
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Cite this

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abstract = "Following the work presented by the author in a previous paper, a model reference adaptive controller, which requires minimal knowledge of the system structures, is synthesized to control or synchronize chaotic systems. This is achieved by exploiting the boundedness of chaotic evolutions. Moreover, when the linear term of the error equation is characterized by a Hurwitz matrix, the control law is reduced to a pure discontinuous action, whose amplitude is adaptively estimated. The method is applied to the control of a Lorenz system and the synchronization of two dentical Chua circuits",

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N2 - Following the work presented by the author in a previous paper, a model reference adaptive controller, which requires minimal knowledge of the system structures, is synthesized to control or synchronize chaotic systems. This is achieved by exploiting the boundedness of chaotic evolutions. Moreover, when the linear term of the error equation is characterized by a Hurwitz matrix, the control law is reduced to a pure discontinuous action, whose amplitude is adaptively estimated. The method is applied to the control of a Lorenz system and the synchronization of two dentical Chua circuits

AB - Following the work presented by the author in a previous paper, a model reference adaptive controller, which requires minimal knowledge of the system structures, is synthesized to control or synchronize chaotic systems. This is achieved by exploiting the boundedness of chaotic evolutions. Moreover, when the linear term of the error equation is characterized by a Hurwitz matrix, the control law is reduced to a pure discontinuous action, whose amplitude is adaptively estimated. The method is applied to the control of a Lorenz system and the synchronization of two dentical Chua circuits

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BT - A purely adaptive controller to synchronize and control chaotic systems

ER -

A purely adaptive controller to synchronize and control chaotic systems

Abstract

Bibliographical note

Research Groups and Themes

Keywords

Access to Document

Handle.net

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Research output

A purely adaptive controller to synchronize and control chaotic systems

Cite this