| 基于向量Liapunov函数的时滞车辆跟随系统稳定性分析 |
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| 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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| 作者姓名： | 任殿波 张继业 孙林夫 |
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| 作者单位： | 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 |
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| 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) |
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| 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。
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| 关 键 词： | 交通控制 自动车辆跟随系统 指数稳定性 向量李雅普诺夫函数 时间滞后 |
| 文章编号： | 1671-1637（2007）04-0089-04 |
| 收稿时间： | 2006-12-12 |
| 修稿时间： | 2006-12-12 |
Stability analysis of vehicle following system with delays based on vector Liapunov function |
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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. |
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| Authors: | Ren Dian-bo Zhang Ji-ye Sun Lin-fu |
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| Affiliation: | 1. Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 610031, Sichuan, China;;2. CAD Engineering Center, Southwest Jiaotong University, Chengdu 610031, Sichuan, China |
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| 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.13 refs. |
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| Keywords: | traffic control automated vehicle following system exponential stability vector Liapunov function time delays |
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