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Sliding Mode Control of the Fractional-Order Unified Chaotic System

Author

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  • Jian Yuan
  • Bao Shi
  • Xiaoyun Zeng
  • Wenqiang Ji
  • Tetie Pan

Abstract

This paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-order unified chaotic systems, and adaptive sliding mode control is designed for the synchronization issue. Finally, numerical simulations are carried out to verify the effectiveness of the two proposed control techniques.

Suggested Citation

  • Jian Yuan & Bao Shi & Xiaoyun Zeng & Wenqiang Ji & Tetie Pan, 2013. "Sliding Mode Control of the Fractional-Order Unified Chaotic System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, November.
    • Handle: RePEc:hin:jnlaaa:397504
    DOI: 10.1155/2013/397504
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    Cited by:

    1. Zain-Aldeen S. A. Rahman & Basil H. Jasim & Yasir I. A. Al-Yasir & Yim-Fun Hu & Raed A. Abd-Alhameed & Bilal Naji Alhasnawi, 2021. "A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications," Mathematics, MDPI, vol. 9(20), pages 1-25, October.

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