Robust synchronization of perturbed Chen’s fractional-order chaotic systems

This paper investigates the chaos control of a class of fractional-order chaotic systems via sliding mode. First, the sliding mode control law is derived to make the states of the fractional-order chaotic systems asymptotically stable. Second, the designed control scheme guarantees asymptotical stability of the uncertain fractional-order chaotic systems in the presence of an external disturbance. Finally, simulation results are given to demonstrate the effectiveness of the proposed sliding mode control method.

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“…Case I: Non-commensurate order The fractional-order Chen system is considered which is written as [30]:…”

Section: Simulation Resultsmentioning

confidence: 99%

Control of a class of fractional-order chaotic systems via sliding mode

et al. 2011

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“…It is also demonstrated that some fractional-order differential systems behave chaotically or hyper-chaotically, such as the fractional-order Chen system [11,12], the fractional-order financial system [13,14]. Recently, there has been increasing interest in the subject of chaotic synchronization [15][16][17], Pourmahmood et al have designed a RAMSC law to realize chaos synchronization between two different systems with uncertainties, external disturbances and fully unknown parameters.…”

Section: Introductionmentioning

confidence: 97%

Design an adaptive sliding mode controller for drive-response synchronization of two different uncertain fractional-order chaotic systems with fully unknown parameters

Yin

Dadras

Zhong

2012

Journal of the Franklin Institute

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“…Taking into account uncertainties, robust synchronization of two perturbed fractional Chen systems was studied by Asheghan et al [105]. And anticipated synchronization was also investigated by Zhou & Zhu [106].…”

Section: (F) Generalized Projective Synchronizationmentioning

confidence: 99%

Chaos synchronization in fractional differential systems

Zhang

Chen

et al. 2013

Phil. Trans. R. Soc. A.

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This paper presents a brief overview of recent developments in chaos synchronization in coupled fractional differential systems, where the original viewpoints are retained. In addition to complete synchronization, several other extended concepts of synchronization, such as projective synchronization, hybrid projective synchronization, function projective synchronization, generalized synchronization and generalized projective synchronization in fractional differential systems, are reviewed.

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Robust synchronization of perturbed Chen’s fractional-order chaotic systems

Cited by 73 publications

References 42 publications

Control of a class of fractional-order chaotic systems via sliding mode

Control of a class of fractional-order chaotic systems via sliding mode

Design an adaptive sliding mode controller for drive-response synchronization of two different uncertain fractional-order chaotic systems with fully unknown parameters

Chaos synchronization in fractional differential systems

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