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The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output

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  • Runzi Luo
  • Haipeng Su

Abstract

This paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller. In order to design the proper controller, some observer systems are proposed. By using the observer systems some sufficient conditions for achieving chaos control and synchronization of fractional-order chaotic systems are derived. Numerical examples are presented by taking the fractional-order generalized Lorenz chaotic system as an example to show the feasibility and validity of the proposed method.

Suggested Citation

  • Runzi Luo & Haipeng Su, 2018. "The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output," Complexity, Hindawi, vol. 2018, pages 1-8, November.
    • Handle: RePEc:hin:complx:1984348
    DOI: 10.1155/2018/1984348
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    References listed on IDEAS

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    1. Heng Liu & Ye Chen & Guanjun Li & Wei Xiang & Guangkui Xu, 2017. "Adaptive Fuzzy Synchronization of Fractional-Order Chaotic (Hyperchaotic) Systems with Input Saturation and Unknown Parameters," Complexity, Hindawi, vol. 2017, pages 1-16, November.
    2. Qian Ye & Zhengxian Jiang & Tiane Chen, 2018. "Adaptive Feedback Control for Synchronization of Chaotic Neural Systems with Parameter Mismatches," Complexity, Hindawi, vol. 2018, pages 1-8, September.
    3. Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
    4. Ping Zhou & Meihua Ke & Peng Zhu, 2018. "A Fractional-Order System with Coexisting Chaotic Attractors and Control Chaos via a Single State Variable Linear Controller," Complexity, Hindawi, vol. 2018, pages 1-7, June.
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    Cited by:

    1. Runzi Luo & Jiaojiao Fu & Haipeng Su, 2019. "The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method," Complexity, Hindawi, vol. 2019, pages 1-7, May.
    2. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.
    3. Sun, Yunkang & Chen, Yuquan & Wang, Bing & Ma, Cheng, 2024. "A novel adaptive predefined-time sliding mode control scheme for synchronizing fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).

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