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A novel fast terminal sliding mode with predefined-time synchronization

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  • Xue, Haibo
  • Liu, Xinghua

Abstract

This paper aims to investigate the predefined-time synchronization analysis for two different multiple-input-multiple-output systems. Firstly, based on the definition of predefined-time synchronization, we propose a novel Lyapunov function and a novel fast terminal sliding mode, each having corresponding sufficient conditions for predefined-time synchronization. Second, we respectively derive the novel fast terminal sliding mode controllers for synchronization schemes with and without taking into account the uncertainty. The desired convergence time can be obtained by setting predefined-time parameters Tpi in advance. Finally, the controllers and the corresponding parameters designed for comparison are applied to predefined-time synchronization of two chaotic systems. The efficacy and robustness of the obtained results are demonstrated by numerical simulations.

Suggested Citation

  • Xue, Haibo & Liu, Xinghua, 2023. "A novel fast terminal sliding mode with predefined-time synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009505
    DOI: 10.1016/j.chaos.2023.114049
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    References listed on IDEAS

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    1. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "Design of multi-wing chaotic systems with higher largest Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Poursamad, Amir & Markazi, Amir H.D., 2009. "Adaptive fuzzy sliding-mode control for multi-input multi-output chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3100-3109.
    3. Wu, Jie & Xu, Wei & Wang, Xiaofeng & Ma, Ru-ru, 2021. "Stochastic adaptive fixed-time stabilization of chaotic systems with applications in PMSM and FWS," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    4. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    5. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Cao, Qian & Wei, Du Qu, 2023. "Dynamic surface sliding mode control of chaos in the fourth-order power system," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    7. Wang, Zhen & Ahmadi, Atefeh & Tian, Huaigu & Jafari, Sajad & Chen, Guanrong, 2023. "Lower-dimensional simple chaotic systems with spectacular features," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Abudusaimaiti, Mairemunisa & Abdurahman, Abdujelil & Jiang, Haijun & Hu, Cheng, 2022. "Fixed/predefined-time synchronization of fuzzy neural networks with stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    9. Asiain, Erick & Garrido, Rubén, 2021. "Anti-Chaos control of a servo system using nonlinear model reference adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    10. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
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    3. Yan, Shaohui & Wu, Xinyu & Jiang, Jiawei, 2025. "Dynamics analysis and predefined-time sliding mode synchronization of multi-scroll systems based on a single memristor model," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).

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