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Synchronization of a Class of Chaotic Systems with Both Uncertainty and Disturbance by the UDE-Based Control Method

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  • Zuoxun Wang
  • Hongsheng Sha

Abstract

In this paper, chaotic synchronization with uncertainties and disturbances is studied. Firstly, a new control method based on UDE control is proposed, which is composed of two controllers: one is the stabilization controller in order to realize the stabilization of nominal system without uncertainties and disturbances and the other is the UDE controller in order to deal with the given controlled system with both uncertainties and disturbances. Then, two examples are studied by the above method. Finally, the correctness and effectiveness of the method are verified by numerical simulation.

Suggested Citation

  • Zuoxun Wang & Hongsheng Sha, 2021. "Synchronization of a Class of Chaotic Systems with Both Uncertainty and Disturbance by the UDE-Based Control Method," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, February.
    • Handle: RePEc:hin:jnlmpe:5084693
    DOI: 10.1155/2021/5084693
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