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Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System

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Fractional Dynamics and Control

Abstract

This chapter addresses a robust synchronization of unified fractional-order chaotic systems whilst some parameters need to be identified. Based on the sliding mode theory, a control law is proposed to perform a robust synchronization together with parameter identification of two fractional-order unified systems. This is also done when the slave system is perturbed by an uncertainty in the dynamic and parameters of the master are assumed unknown. A novel switching surface is proposed to fulfill the task and to raise the convergence rate of the error in the closed-loop sliding mode control. Unlike many well-known sliding mode controls, no knowledge of the bound of uncertainty and disturbance is required. Simulation study is given to assess the validation and the quality of the analysis and design.

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Author information

Authors and Affiliations

  1. Intelligent System Research Group, Babol University of Technology, Faculty of Electrical and Computer Engineering, 47135-484, Babol, Iran

    E. G. Razmjou, A. Ranjbar, Z. Rahmani & R. Ghaderi

Authors
  1. E. G. Razmjou
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  2. A. Ranjbar
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  3. Z. Rahmani
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  4. R. Ghaderi
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Corresponding author

Correspondence to A. Ranjbar .

Editor information

Editors and Affiliations

  1. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  2. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Rua Dr António Bernadino Almeida 431, Porto, 4200-072, Portugal

    José António Tenreiro Machado

  3. Edwardsville, School of Engineering, Southern Illinois University, Room: EB2064, Edwardsville, 62026-1805, USA

    Albert C. J. Luo

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Razmjou, E.G., Ranjbar, A., Rahmani, Z., Ghaderi, R. (2012). Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System. In: Baleanu, D., Machado, J., Luo, A. (eds) Fractional Dynamics and Control. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0457-6_14

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  • DOI: https://doi.org/10.1007/978-1-4614-0457-6_14

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0456-9

  • Online ISBN: 978-1-4614-0457-6

  • eBook Packages: EngineeringEngineering (R0)

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