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Adaptive Fixed-Time Safety Concurrent Control of Vehicular Platoons with Time-Varying Actuator Faults under Distance Constraints

Author

Listed:
  • Wei Liu

    (School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China)

  • Zhongyang Wei

    (School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China)

  • Yuchen Liu

    (School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China)

  • Zhenyu Gao

    (School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China)

Abstract

This paper investigates the fault-tolerant control problem for vehicular platoons with time-varying actuator fault directions and distance constraints. A bias constraint function is introduced to convert the asymmetric constraints into symmetric ones, based on which a unified barrier Lyapunov function (BLF) method is proposed to ensure distance constraints. Further, an adaptive fixed-time fault-tolerant controller in the context of a sliding mode control technique is proposed, wherein a new Nussbaum function is adopted to address the effects of unknown time-varying actuator fault directions. It is proved that both individual vehicle stability and string stability can all be guaranteed, and the effectiveness of the proposed algorithm is verified through numerical simulations.

Suggested Citation

  • Wei Liu & Zhongyang Wei & Yuchen Liu & Zhenyu Gao, 2024. "Adaptive Fixed-Time Safety Concurrent Control of Vehicular Platoons with Time-Varying Actuator Faults under Distance Constraints," Mathematics, MDPI, vol. 12(16), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2560-:d:1459370
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    References listed on IDEAS

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    1. Steven Chu & Arun Majumdar, 2012. "Opportunities and challenges for a sustainable energy future," Nature, Nature, vol. 488(7411), pages 294-303, August.
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