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.
String Exponential Stability With Mode Constraint of Stochastic Vehicle Following Systems
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.
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Xu, X., Zhang, J., and Tang, L. (August 23, 2013). "String Exponential Stability With Mode Constraint of Stochastic Vehicle Following Systems." ASME. J. Dyn. Sys., Meas., Control. November 2013; 135(6): 061011. https://doi.org/10.1115/1.4024888
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