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Input-to-state stability of the road transport system via cyber–physical optimal control

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  • Wang, Yaqi
  • Lu, Jianquan
  • Cao, Jinde
  • Huang, Wei
  • Guo, Jianhua
  • Wei, Yun

Abstract

In this paper, we propose a novel dynamical model of heavy-duty vehicle platooning that is concerned with both drivers’ operation and external resistance, such as air drag, rolling resistance, and the longitudinal component of gravity. The total fuel consumption cost function is optimized the premise of ensuring security and fuel efficiency. Differing from other studies of platoon control problems, it takes drivers’ parameters into account, and two new control strategies, cooperative look-ahead controller and cooperative look-back controller, are designed to adjust the vehicles’ speed in the platoon. Sufficient conditions are derived to demonstrate that the cyber–physical transport system can achieve input-to-state stability under the controller. A numerical example is given to well illustrate our main theoretical results.

Suggested Citation

  • Wang, Yaqi & Lu, Jianquan & Cao, Jinde & Huang, Wei & Guo, Jianhua & Wei, Yun, 2020. "Input-to-state stability of the road transport system via cyber–physical optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 3-12.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:3-12
    DOI: 10.1016/j.matcom.2019.05.005
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    References listed on IDEAS

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    1. Li, Peng & Li, Xiaodi, 2019. "Input-to-state stability of nonlinear impulsive systems via Lyapunov method involving indefinite derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 314-323.
    2. Zhong, Jie & Liu, Yang & Kou, Kit Ian & Sun, Liangjie & Cao, Jinde, 2019. "On the ensemble controllability of Boolean control networks using STP method," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 51-62.
    3. Ahusborde, E. & Ossmani, M. El, 2017. "A sequential approach for numerical simulation of two-phase multicomponent flow with reactive transport in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 71-89.
    4. Yang, Xueyan & Peng, Dongxue & Lv, Xiaoxiao & Li, Xiaodi, 2019. "Recent progress in impulsive control systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 244-268.
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