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Adaptive feedback control and synchronization of non-identical chaotic fractional order systems

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Abstract

This paper addresses the reliable synchronization problem between two non-identical chaotic fractional order systems. In this work, we present an adaptive feedback control scheme for the synchronization of two coupled chaotic fractional order systems with different fractional orders. Based on the stability results of linear fractional order systems and Laplace transform theory, using the master-slave synchronization scheme, sufficient conditions for chaos synchronization are derived. The designed controller ensures that fractional order chaotic oscillators that have non-identical fractional orders can be synchronized with suitable feedback controller applied to the response system. Numerical simulations are performed to assess the performance of the proposed adaptive controller in synchronizing chaotic systems.

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Authors and Affiliations

  1. Faculty of Science and Technology, University of Le Havre, BP 540, 76058, Le Havre Cedex, France

    Zaid M. Odibat

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  1. Zaid M. Odibat
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Correspondence to Zaid M. Odibat.

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On sabbatical leave from Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa’ Applied University, Salt, Jordan.

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Odibat, Z.M. Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Nonlinear Dyn 60, 479–487 (2010). https://doi.org/10.1007/s11071-009-9609-6

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  • DOI: https://doi.org/10.1007/s11071-009-9609-6

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