Control of chaos in Lorenz system

Shyi Kae Yang; Chieh Li Chen; Her Terng Yau

doi:10.1016/S0960-0779(01)00052-2

Control of chaos in Lorenz system

Shyi Kae Yang, Chieh Li Chen, Her Terng Yau

Department of Aeronautics and Astronautics

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

143 Citations (Scopus)

Abstract

A strategy is proposed to control Lorenz chaos, whereby a sliding surface is assigned such that a sliding mode motion occurs when the proposed control law is applied. The results show that only part of the system state can be regulated arbitrarily, due to the structure of the Lorenz system and the applied control variable. The paper also provides a further discussion on the resulting system behavior, which is not addressed in the literature.

Original language	English
Pages (from-to)	767-780
Number of pages	14
Journal	Chaos, solitons and fractals
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/S0960-0779(01)00052-2
Publication status	Published - 2002 Mar

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistical and Nonlinear Physics
General Physics and Astronomy
General Mathematics

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10.1016/S0960-0779(01)00052-2

Cite this

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title = "Control of chaos in Lorenz system",

abstract = "A strategy is proposed to control Lorenz chaos, whereby a sliding surface is assigned such that a sliding mode motion occurs when the proposed control law is applied. The results show that only part of the system state can be regulated arbitrarily, due to the structure of the Lorenz system and the applied control variable. The paper also provides a further discussion on the resulting system behavior, which is not addressed in the literature.",

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AB - A strategy is proposed to control Lorenz chaos, whereby a sliding surface is assigned such that a sliding mode motion occurs when the proposed control law is applied. The results show that only part of the system state can be regulated arbitrarily, due to the structure of the Lorenz system and the applied control variable. The paper also provides a further discussion on the resulting system behavior, which is not addressed in the literature.

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Control of chaos in Lorenz system

Abstract

All Science Journal Classification (ASJC) codes

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