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On state feedback control and Lyapunov analysis of car-following model

Author

Listed:
  • Gao, Shigen
  • Dong, Hairong
  • Song, Haifeng
  • Zhou, Min

Abstract

This paper addresses the state feedback control problem of car-following model to circumvent the traffic jam phenomenon. A backstepping-based state feedback control is proposed together with corresponding closed-loop system analysis using Lyapunov theory. Different from existing Laplace transformation and transfer function based analysis method, this paper presents parameter-selection criterion with explicit considerations of initial states. The effectiveness of the proposed control method, and corresponding criterion of parameter-selection, are verified by simulation results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s037843711931341x
    DOI: 10.1016/j.physa.2019.122320
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    Cited by:

    1. 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).
    2. Zhang, Geng & Yin, Le & Pan, Dong-Bo & Zhang, Yu & Cui, Bo-Yuan & Jiang, Shan, 2020. "Research on multiple vehicles’ continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).

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