Controlling chaos of the family of Rössler systems using sliding mode control

Jen Fuh Chang; Meei Ling Hung; Yi Sung Yang; Teh Lu Liao; Jun Juh Yan

doi:10.1016/j.chaos.2006.09.051

Controlling chaos of the family of Rössler systems using sliding mode control

Jen Fuh Chang, Meei Ling Hung, Yi Sung Yang, Teh Lu Liao, Jun Juh Yan

Department of Engineering Science

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

51 Citations (Scopus)

Abstract

This paper investigates the control of chaos for several classical chaotic Rössler type systems using the sliding mode control strategy. For an arbitrarily given equilibrium point of a Rössler system, we achieve global stabilizing for the equilibrium points. Particularly, a class of proportional-integral (PI) switching surface is introduced for determining the convergence rate. Six typical Rössler systems are studied and their simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

Original language	English
Pages (from-to)	609-622
Number of pages	14
Journal	Chaos, solitons and fractals
Volume	37
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2006.09.051
Publication status	Published - 2008 Jul

All Science Journal Classification (ASJC) codes

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

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10.1016/j.chaos.2006.09.051

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abstract = "This paper investigates the control of chaos for several classical chaotic R{\"o}ssler type systems using the sliding mode control strategy. For an arbitrarily given equilibrium point of a R{\"o}ssler system, we achieve global stabilizing for the equilibrium points. Particularly, a class of proportional-integral (PI) switching surface is introduced for determining the convergence rate. Six typical R{\"o}ssler systems are studied and their simulation results are presented to demonstrate the effectiveness of the proposed control scheme.",

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AU - Liao, Teh Lu

AU - Yan, Jun Juh

PY - 2008/7

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AB - This paper investigates the control of chaos for several classical chaotic Rössler type systems using the sliding mode control strategy. For an arbitrarily given equilibrium point of a Rössler system, we achieve global stabilizing for the equilibrium points. Particularly, a class of proportional-integral (PI) switching surface is introduced for determining the convergence rate. Six typical Rössler systems are studied and their simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

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Controlling chaos of the family of Rössler systems using sliding mode control

Abstract

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