Stability Analysis for the Vehicular Platoon System With Time-Varying Delay via A State Decomposition Method

被引：0
|
作者：
Xu, Hang [1 ,2 ]
Zhang, Chuan-Ke [1 ,2 ]
Shangguan, Xing-Chen [1 ,2 ]
Jin, Li [1 ,2 ]
Li, Yang [1 ,2 ]
机构：
[1] China Univ Geosci, Sch Automat, Wuhan, Peoples R China
[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan, Peoples R China
来源：
2024 9TH INTERNATIONAL CONFERENCE ON AUTOMATION, CONTROL AND ROBOTICS ENGINEERING, CACRE 2024 | 2024年
基金：
中国国家自然科学基金;
关键词：
Vehicular platoon system; State decomposition method; Stability of time delay systems; VEHICLES; TRACKING;
D O I：
10.1109/CACRE62362.2024.10635083
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the consideration of the stability problem for the vehicular platoon system (VPS) with communication delays under proportional differential (PD) control is studied by the Lyapunov-Krasovskii functional (LKF). Firstly, a VPS considering delay is modeled to analyze the influence of delays for the VPS in operation. Then, an error state-space system of the VPS is constructed and transformed into a singular system. As a result, the stability criterion is proposed based on the state decomposition method via the LKF. Finally, the tolerance for delay is calculated for a case of four vehicles with different controller gains. The result shows that the proportional gain is inversely proportional to the time delay and the differential gain is in direct proportion to the time delay meanwhile. Besides, the high-speed vehicular platoon is more affected by the time delay.
引用
收藏
页码：136 / 141
页数：6
相关论文
共 50 条
  • [41] Delay decomposition approach to stability analysis for uncertain fuzzy Hopfield neural networks with time-varying delay
    Balasubramaniam, P.
    Chandran, R.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 2098 - 2108
  • [42] Interval Delay Partitioning Method For The System With Time-varying Delay
    Li, Min
    Chen, Hao
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1599 - 1604
  • [43] A Stability Analysis for a class of Systems with Time-varying Delay
    Guo, Zixiang
    Jiang, Xiefu
    Fan, Huaxu
    Yang, Qi
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 395 - 398
  • [44] A stability analysis of a time-varying chemostat with pointwise delay
    Mazenc F.
    Robledo G.
    Sepúlveda D.
    Mathematical Biosciences and Engineering, 2024, 21 (02) : 2691 - 2728
  • [45] On the Stability Analysis of Equations with Bounded Time-Varying Delay
    Egorov, Alexey
    IFAC PAPERSONLINE, 2019, 52 (18): : 85 - 90
  • [46] Stability Analysis of Singular Systems with Time-Varying Delay
    Zhao Xianlin
    Shen Mingxia
    PROCEEDINGS OF THE SECOND INTERNATIONAL SYMPOSIUM ON TEST AUTOMATION & INSTRUMENTATION, VOLS 1-2, 2008, : 1121 - 1125
  • [47] Robust Stability Analysis of Time-Varying Delay Systems
    Egorov, Alexey
    IFAC PAPERSONLINE, 2022, 55 (36): : 210 - 215
  • [48] Stability analysis for neural networks with time-varying delay
    Zhu, Xun-Lin
    Yang, Guang-Hong
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 3664 - 3669
  • [49] A Stability Analysis for a class of Systems with Time-varying Delay
    Guo Zixiang
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 577 - 580
  • [50] Stability analysis of systems with time-varying delay: a quadratic-partitioning method
    Chen, Jun
    Park, Ju H.
    Xu, Shengyuan
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18): : 3184 - 3189
12345