Chaos control and synchronization via a novel chatter free sliding mode control strategy

Huaqing Li; Xiaofeng Liao; Chuandong Li; Chaojie Li

doi:10.1016/j.neucom.2011.05.002

Chaos control and synchronization via a novel chatter free sliding mode control strategy

Huaqing Li, Xiaofeng Liao, Chuandong Li, Chaojie Li

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

133 Citations (Scopus)

Abstract

In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization. © 2011 Elsevier B.V.

Original language	English
Pages (from-to)	3212-3222
Journal	Neurocomputing
Volume	74
Issue number	17
DOIs	https://doi.org/10.1016/j.neucom.2011.05.002
Publication status	Published - Oct 2011
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to <a href="mailto:[email protected]">[email protected]</a>.

Funding

The work described in this paper is funded by the Project no. CDJXS11182239 supported by the Fundamental Research Funds for the Central Universities , the National Natural Science Foundation of China (nos. 60973114 and 61003247 ), the Natural Science Foundation project of CQCSTC ( 2009BA2024 ), and the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University ( nos. 2007DA10512709207 and 2007DA10512711206 ).

Research Keywords

Chaos control
Chaos synchronization
Chatter free
Sliding mode control (SMC)
Uncertain chaotic systems

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title = "Chaos control and synchronization via a novel chatter free sliding mode control strategy",

abstract = "In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization. {\textcopyright} 2011 Elsevier B.V.",

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AU - Li, Huaqing

AU - Liao, Xiaofeng

AU - Li, Chuandong

AU - Li, Chaojie

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N2 - In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization. © 2011 Elsevier B.V.

AB - In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization. © 2011 Elsevier B.V.

KW - Chaos control

KW - Chaos synchronization

KW - Chatter free

KW - Sliding mode control (SMC)

KW - Uncertain chaotic systems

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DO - 10.1016/j.neucom.2011.05.002

M3 - RGC 21 - Publication in refereed journal

SN - 0925-2312

VL - 74

SP - 3212

EP - 3222

JO - Neurocomputing

JF - Neurocomputing

IS - 17

ER -

Chaos control and synchronization via a novel chatter free sliding mode control strategy

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Research Keywords

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