Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach

In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic systems with uncertainty and external disturbance is proposed to realize chaos control. The bounds of the uncertainty and external disturbance are assumed to be unknown. Appropriate adaptive laws are des...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 37; no. 4; pp. 2469 - 2483
Main Authors Yin, Chun, Dadras, Sara, Zhong, Shou-ming, Chen, YangQuan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2013
Subjects
Adaptive control systems
Adaptive sliding mode control
Chaos
Chaos theory
Control systems
Disturbances
External disturbance
Fractional-order chaotic system
Mathematical models
Sliding mode
Sliding mode control
Uncertainty
Chaos
Uncertainty
Adaptive sliding mode control
Fractional-order chaotic system
External disturbance
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Summary:In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic systems with uncertainty and external disturbance is proposed to realize chaos control. The bounds of the uncertainty and external disturbance are assumed to be unknown. Appropriate adaptive laws are designed to tackle the uncertainty and external disturbance. In the adaptive sliding mode control (ASMC) strategy, fractional-order derivative is introduced to obtain a novel sliding surface. The adaptive sliding mode controller is shown to guarantee asymptotical stability of the considered fractional-order chaotic systems in the presence of uncertainty and external disturbance. Some numerical simulations demonstrate the effectiveness of the proposed ASMC scheme.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0307-904X
DOI:10.1016/j.apm.2012.06.002