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Consensus-based connected vehicles platoon control via impulsive control method

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  • Wu, Zhibei
  • Sun, Jitao
  • Xu, Ruihua

Abstract

This paper focuses on the consensus of vehicle platoon with a leader and multiple connected followers. The objectives of platoon control are that the followers track the leader with a desired distance and all vehicles keep running with same speed. To achieve these objectives, we first time apply the impulsive control method on vehicle platoon, which can simplify the control and reduce the communication resource result from only information of vehicles at impulse instant transmitting and receiving. Combining impulsive control method with model transformation, we construct a vehicle tracking error system with impulse. Then, we propose a sufficient condition via matrix’s spectral-radius to stabilize the error system, namely, vehicle platoon reach consensus. A numerical example is carried out to show the performance of impulsive control.

Suggested Citation

  • Wu, Zhibei & Sun, Jitao & Xu, Ruihua, 2021. "Consensus-based connected vehicles platoon control via impulsive control method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
  • Handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004635
    DOI: 10.1016/j.physa.2021.126190
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    References listed on IDEAS

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    1. Wu, Zhibei & Sun, Jitao & Xu, Ruihua, 2019. "Calculating vulnerability index of urban metro systems based on satisfied route," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    2. Yu, Shaowei & Fu, Rui & Guo, Yingshi & Xin, Qi & Shi, Zhongke, 2019. "Consensus and optimal speed advisory model for mixed traffic at an isolated signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    3. Jiao, Shuaiyang & Zhang, Shengrui & Zhou, Bei & Zhang, Lei & Xue, Liyuan, 2021. "Dynamic performance and safety analysis of car-following models considering collision sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    4. Davis, L.C., 2021. "Method of compensation for the mechanical response of connected adaptive cruise control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    5. Gao, Shigen & Dong, Hairong & Song, Haifeng & Zhou, Min, 2019. "On state feedback control and Lyapunov analysis of car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. Zhou, Yang & Ahn, Soyoung & Wang, Meng & Hoogendoorn, Serge, 2020. "Stabilizing mixed vehicular platoons with connected automated vehicles: An H-infinity approach," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 152-170.
    7. Chen, Dong & Zhao, Min & Sun, Dihua & Zheng, Linjiang & Jin, Shuang & Chen, Jin, 2020. "Robust H∞ control of cooperative driving system with external disturbances and communication delays in the vicinity of traffic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    8. Yang, Songpo & Liao, Feixiong & Wu, Jianjun & Timmermans, Harry J.P. & Sun, Huijun & Gao, Ziyou, 2020. "A bi-objective timetable optimization model incorporating energy allocation and passenger assignment in an energy-regenerative metro system," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 85-113.
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    Cited by:

    1. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Griffin, Christopher & Squicciarini, Anna & Jia, Feiran, 2022. "Consensus in complex networks with noisy agents and peer pressure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    3. Chen, Jianzhong & Li, Jing & Xu, Zhaoxin & Wu, Xiaobao, 2022. "Cooperative optimal control for connected and automated vehicles platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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