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Research Papers

String Exponential Stability With Mode Constraint of Stochastic Vehicle Following Systems

[+] Author and Article Information
Xiaohui Xu

School of Transportation and
Automotive Engineering,
Xihua University,
Chengdu 610039, China
e-mail: xhxu@163.com

Jiye Zhang

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
Chengdu 610031, China
e-mail: jyzhang@home.swjtu.edu.cn

Lan Tang

School of Transportation and
Automotive Engineering,
Xihua University,
Chengdu 610039, China
e-mail: cs5765@163.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 3, 2012; final manuscript received June 16, 2013; published online August 23, 2013. Assoc. Editor: Alexander Leonessa.

J. Dyn. Sys., Meas., Control 135(6), 061011 (Aug 23, 2013) (6 pages) Paper No: DS-12-1205; doi: 10.1115/1.4024888 History: Received July 03, 2012; Revised June 16, 2013

Associated with automatic vehicle following system is the problem of the stability of a platoon of vehicles. The stability with mode constraint is the property of damping disturbances as they travel away from the source in the system. In this paper, a class of infinite-dimensional vehicle longitudinal following system with stochastic disturbance is analyzed. By applying geometrical analysis method, a lemma for analyzing the stability of generalized vector comparison inequalities with respect to the original systems is established. With the help of the lemma, some sufficient conditions for assuring the string exponential stability with mode constraint of the original system are obtained by applying vector Lyapunov function method. The obtained conditions are less conservative than the existing ones. A numerical example is given to show the effectiveness of the established conditions.

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Copyright © 2013 by ASME
Topics: Stability , String , Vehicles
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The states curves of system (12)

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