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具有随机干扰的时滞车辆跟随控制

施继忠 宋乾坤 张继业 徐晓惠

施继忠, 宋乾坤, 张继业, 徐晓惠. 具有随机干扰的时滞车辆跟随控制[J]. 应用数学和力学, 2014, 35(10): 1115-1123. doi: 10.3879/j.issn.1000-0887.2014.10.006
引用本文: 施继忠, 宋乾坤, 张继业, 徐晓惠. 具有随机干扰的时滞车辆跟随控制[J]. 应用数学和力学, 2014, 35(10): 1115-1123. doi: 10.3879/j.issn.1000-0887.2014.10.006
SHI Ji-zhong, SONG Qian-kun, ZHANG Ji-ye, XU Xiao-hui. Control of Time-Delay Vehicle Following Systems With Random Factors[J]. Applied Mathematics and Mechanics, 2014, 35(10): 1115-1123. doi: 10.3879/j.issn.1000-0887.2014.10.006
Citation: SHI Ji-zhong, SONG Qian-kun, ZHANG Ji-ye, XU Xiao-hui. Control of Time-Delay Vehicle Following Systems With Random Factors[J]. Applied Mathematics and Mechanics, 2014, 35(10): 1115-1123. doi: 10.3879/j.issn.1000-0887.2014.10.006

具有随机干扰的时滞车辆跟随控制

doi: 10.3879/j.issn.1000-0887.2014.10.006
基金项目: 国家自然科学基金(11161013;11361017); 广西自然科学基金(2014GXNSFBA118007); 广西高等学校优秀中青年骨干教师培养工程
详细信息
    作者简介:

    施继忠(1977—), 男, 讲师, 博士(E-mail: shijizhong@zjnu.cn);宋乾坤(1963—), 男, 教授, 博士(通讯作者. E-mail: qiankunsong@163.com);张继业(1965—), 男, 教授, 博士(E-mail: jyzhang@home.swjtu.edu.cn);徐晓惠(1982—), 女, 讲师, 博士(E-mail: xhxu@163.com).

  • 中图分类号: TP273

Control of Time-Delay Vehicle Following Systems With Random Factors

Funds: The National Natural Science Foundation of China(11161013;11361017)
  • 摘要: 考虑信息传输和车辆动力学行为对控制指令具有时间滞后因素和车辆动力学系统建模中忽略的随机因素, 建立了一类具有时间滞后的随机车辆跟随系统,并研究了该系统的稳定性和控制器设计.根据Ito(伊藤)随机微分方程建立随机车辆动力学模型.利用滑模控制设计了系统的控制策略, 并运用系统的稳定性判据得到了系统控制参数的收敛区域.数值仿真试验结果表明: 各跟随车辆的加速度、速度和位移等状态能在较短的时间内迫近领头车辆; 各车辆的车间距误差有较快的收敛速度, 均能在10 s内收敛于0.
  • [1] Barbieri E. Stability analysis of a class of interconnected systems[J].ASME Journal of Dynamic Systems, Measurement and Control,1993,115(3): 546-551.
    [2] Shladover S E. Longitudinal control of automotive vehicles in close formation platoons[J].ASME Journal of Dynamic Systems, Measurement and Control,1991,113(2): 231-241.
    [3] Swaroop D, Hedrick J K. String stability of interconnected systems[J].IEEE Transactions on Automatic Control,1996,41(3): 349-357.
    [4] Eyre J. A simplified framework for string stability analysis of automated vehicle[J].Vehicle System Dynamics,1998,30(3): 375-405.
    [5] 张继业, 杨翊仁, 曾京. 无限维关联系统的弦稳定性[J]. 应用数学和力学, 2000,21(7): 715-719.(ZHANG Ji-ye, YANG Yi-ren, ZENG Jing. String stability of infinite interconnected system[J].Applied Mathematics and Mechanics,2000,21(7): 715-719.(in Chinese))
    [6] Zhang J Y, Suda T, Iwasa T, Komine H. Vector Liapunov function approach to longitudinal control of vehicles in a platoon[J].JSME International Journal: Series C,2004,47(2): 653-658.
    [7] 任殿波, 张继业, 孙林夫. 基于向量Liapunov函数的时滞车辆跟随系统稳定性分析[J]. 交通运输工程学报, 2007,7(4): 89-92.(REN Dian-bo, ZHANG Ji-ye, SUN Lin-fu. Stability analysis of vehicle following system with delays based on vector Liapunov function[J].Journal of Traffic and Transportation Engineering,2007,7(4): 89-92.(in Chinese))
    [8] 任殿波, 张继业. 基于Lyapunov函数方法的时滞车辆纵向跟随控制[J]. 控制与决策, 2007,22(8): 918-921.(REN Dian-bo, ZHANG Ji-ye. Lyapunov function approach to longitudinal following control of vehicles in platoon with delays[J].Control and Decision,2007,22(8): 918-921.(in Chinese))
    [9] Zhang J Y. Globally exponential stability of neural networks with variable delays[J].IEEE Transactions on Circuits and System,2003,50(2): 288-291.
    [10] 徐晓惠, 张继业, 张克跃. 脉冲变时滞车辆纵向跟随系统的群指数稳定性与控制[J]. 控制与决策, 2012,27(9): 1293-1300.(XU Xiao-hui, ZHANG Ji-ye, ZHANG Ke-yue. Exponential stability and control of vehicle longitudinal following system with impulsive effects and time-varying delays[J].Control and Decision,2012,27(9): 1293-1300. (in Chinese))
    [11] 施继忠, 张继业, 徐晓惠. 时滞随机关联系统的群稳定性[J]. 自动化学报, 2010,36(12): 1744-1751.(SHI Ji-zhong, ZHANG Ji-ye, XU Xiao-hui. String stability of stochastic interconnected systems with time delays[J].Acta Automatica Sinica,2010,36(12): 1744-1751.(in Chinese))
    [12] Feng Q. A discrete model of a stochastic friction system[J].Computer Methods Applied Mechanics Engineering,2003,192(20): 2339-2354.
    [13] 高强, 王洪礼, 许佳, 葛根. 随机干扰下机翼系统的可靠性与控制研究[J]. 机械强度, 2009,31(3): 508-511.(GAO Qiang, WANG Hong-li, XU Jia, GE Gen. Research of reliability and control on airfoil flutter under random excitation[J].Journal of Mechanical Strength,2009,31(3): 508-511.(in Chinese))
    [14] Niu Y G, Jia T, Huang J, Liu J. Design of sliding mode control for neutral delay systems with perturbation in control channels[J].Optimal Control Applications and Methods,2012,33(3): 363-374.
    [15] Higham D J. An algorithmic introduction to numerical simulaton of stochastic differential equations[J].SIAM Review,2001,43(3): 525-546.
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出版历程
  • 收稿日期:  2014-04-27
  • 修回日期:  2014-08-23
  • 刊出日期:  2014-10-15

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