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Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy

Author

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  • Liu, Shanlin
  • Niu, Ben
  • Zong, Guangdeng
  • Zhao, Xudong
  • Xu, Ning

Abstract

This article investigates the event-triggered-based adaptive fixed-time control problem for switched under-actuated nonlinear systems subject to dead-zone constraints. To improve the utilization of communication resources, robustness and response rate of the system under consideration, an efficient control method combining hierarchical sliding mode technique and event-triggered mechanism is proposed. On the basis of this method, a new fixed-time stability criterion is developed to ensure that the designed controller can make the considered system be fixed-time stable and particularly the settling time be independent of the initial conditions. Then, the singularity problem of the designed controller is successfully solved by employing a projection algorithm. Finally, rigorous theoretical derivations and simulation results are included to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Liu, Shanlin & Niu, Ben & Zong, Guangdeng & Zhao, Xudong & Xu, Ning, 2022. "Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    • Handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s009630032200515x
    DOI: 10.1016/j.amc.2022.127441
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    References listed on IDEAS

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    1. Haoyan Zhang & Ning Xu & Guangdeng Zong & Abdulhameed F. Alkhateeb, 2021. "Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(8), pages 1499-1514, June.
    2. Hongjun Yang & Zhijie Liu & Shuang Zhang, 2018. "Single Parameter Adaptive Control of Unknown Nonlinear Systems with Tracking Error Constraints," Complexity, Hindawi, vol. 2018, pages 1-9, October.
    3. Yu-Qun Han, 2018. "Adaptive tracking control of nonlinear systems with dynamic uncertainties using neural network," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(7), pages 1391-1402, May.
    4. Yanwei Zhao & Haoyan Zhang & Zhongyu Chen & Huanqing Wang & Xudong Zhao, 2022. "Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(7), pages 1545-1561, May.
    5. Wang, Yuanqing & Xu, Ning & Liu, Yajuan & Zhao, Xudong, 2021. "Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. Li, Zheng & Wang, Fang & Zhu, Ruitai, 2021. "Finite-time adaptive neural control of nonlinear systems with unknown output hysteresis," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    7. Yulin Li & Ben Niu & Guangdeng Zong & Jinfeng Zhao & Xudong Zhao, 2022. "Command filter-based adaptive neural finite-time control for stochastic nonlinear systems with time-varying full-state constraints and asymmetric input saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(1), pages 199-221, January.
    8. Wu, Li-Bing & Park, Ju H. & Xie, Xiang-Peng & Liu, Ya-Juan & Yang, Zhi-Chun, 2020. "Event-triggered adaptive asymptotic tracking control of uncertain nonlinear systems with unknown dead-zone constraints," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    Cited by:

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    2. Chan Gu & Encheng Chi & Chujia Guo & Mostafa M. Salah & Ahmed Shaker, 2023. "A New Self-Tuning Deep Neuro-Sliding Mode Control for Multi-Machine Power System Stabilizer," Mathematics, MDPI, vol. 11(7), pages 1-18, March.
    3. Weijun Hu & Jiale Quan & Xianlong Ma & Mostafa M. Salah & Ahmed Shaker, 2023. "Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters," Mathematics, MDPI, vol. 11(8), pages 1-15, April.

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