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基于向量Liapunov函数的时滞车辆跟随系统稳定性分析

任殿波,  张继业,  孙林夫

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文章导航 > 交通运输工程学报  > 2007 >  7(4): 89-92
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.
引用本文: 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.
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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.
Citation: 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.
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基于向量Liapunov函数的时滞车辆跟随系统稳定性分析

  • 1.

    西南交通大学 牵引动力国家重点实验室, 四川 成都 610031

  • 2.

    西南交通大学 CAD工程中心, 四川 成都 610031

基金项目: 

教育部新世纪优秀人才支持计划项目 NCET-04-0889

四川省青年科技基金项目 05ZQ026-015

详细信息
    作者简介:

    任殿波(1968-), 男, 山东利津人, 西南交通大学工学博士研究生, 从事交通信息工程及控制研究

    张继业(1965-), 男, 四川夹江人, 西南交通大学教授

  • 中图分类号: U491.255

Stability analysis of vehicle following system with delays based on vector Liapunov function

  • 1.

    Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 2.

    CAD Engineering Center, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information

    摘要
  • 摘要: 为了提高自动化高速公路车辆纵向跟随控制系统的稳定性, 建立了关于车辆跟随误差的具有时间滞后的无限维非线性关联大系统模型, 应用向量李雅普诺夫函数对大系统的稳定性进行了分析。以大系统的孤立子系统的稳定性条件为基础, 在假定系统满足全局Lipschitz条件的情况下, 得到了此类大系统指数稳定的充分性判据。该判据是与时间滞后量无关的显式判据, 可方便地应用于车辆纵向跟随控制器的设计。

     

    Abstract: In order to study the stability of longitudinal following control system of vehicle in automated highway system, the following errors of vehicles were analyzed, a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed, and the stability of the system was studied by applying vector Liapunov function. Under the assumption that the system satisfied holistic Lipschitz condition, the stability conditions of isolated subsystems decomposed from the large-scale system were regarded as base, and a sufficient condition of exponential stability on the large-scale system was obtained.Since the criterion is explicit and independent of the delays, it is easy to be applied in the design of longitudinal vehicle following controllers.

     

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    • 参考文献(13)
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  • 收稿日期:  2006-12-12
  • 刊出日期:  2007-08-25

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