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Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system

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  • Takhi, Hocine
  • Kemih, Karim
  • Moysis, Lazaros
  • Volos, Christos

Abstract

The problem of passivity-based sliding mode control is considered, for the unified chaotic system having uncertainties and perturbations. Using a combination between sliding mode method and the passivity method, an appropriate switching surface for the uncertain and perturbed system is designed, and then through passivity theory, the stability of the system is ensured. The proposed design is applied in two control problems, the first one being the stabilization of the uncertain perturbed unified chaotic system and the second one is the synchronization between two unified chaotic systems, where only the slave system contains uncertainties and perturbations. Finally, the effectiveness of the proposed methods are illustrated through numerical simulations, and also through a microcontroller implementation.

Suggested Citation

  • Takhi, Hocine & Kemih, Karim & Moysis, Lazaros & Volos, Christos, 2021. "Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 150-169.
    • Handle: RePEc:eee:matcom:v:181:y:2021:i:c:p:150-169
    DOI: 10.1016/j.matcom.2020.09.020
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    References listed on IDEAS

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    6. Yang, Bo & Yu, Tao & Shu, Hongchun & Zhang, Yuming & Chen, Jian & Sang, Yiyan & Jiang, Lin, 2018. "Passivity-based sliding-mode control design for optimal power extraction of a PMSG based variable speed wind turbine," Renewable Energy, Elsevier, vol. 119(C), pages 577-589.
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    Cited by:

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    2. Su, Haipeng & Luo, Runzi & Fu, Jiaojiao & Huang, Meichun, 2022. "Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 474-493.
    3. Babu, N. Ramesh & Balasubramaniam, P., 2023. "Master–slave synchronization for glucose–insulin metabolism of type-1 diabetic Mellitus model based on new fractal–fractional order derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 282-301.

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