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Asymptotic Behaviour of Platoon Systems

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Details

Original languageEnglish
Title of host publicationProceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
PublisherUniversity of Minnesota
Pages830-836
Number of pages7
ISBN (Electronic)978-1-5323-1358-5
Publication statusPublished - Jul 2016
Publication typeA4 Article in a conference publication
EventINTERNATIONAL SYMPOSIUM ON MATHEMATICAL THEORY OF NETWORKS AND SYSTEMS -
Duration: 1 Jan 1900 → …

Conference

ConferenceINTERNATIONAL SYMPOSIUM ON MATHEMATICAL THEORY OF NETWORKS AND SYSTEMS
Period1/01/00 → …

Abstract

In this paper we study the asymptotic behaviour of various platoon-type systems using the general theory developed by the authors in a recent article. The aim is to steer an infinite number of vehicles towards a target configuration in which each vehicle has a prescribed separation from its neighbour and all vehicles are moving at a given velocity. More specifically, we study systems in which state feedback is possible, systems in which observer-based dynamic output feedback is required, and also a situation in which the control objective is modified to allow the target separations to depend on the vehicles’ velocities. We show that in the first and third cases the objective can be achieved, but that in the second case the system is unstable in the sense that the associated semigroup is not uniformly bounded. We also present some quantified results concerning the rate of convergence of the platoon to its limit state when the limit exists.

ASJC Scopus subject areas

Keywords

  • Vehicle platoon, ordinary differential equations, asymptotic behaviour, state feedback, rates of convergence

Publication forum classification

Field of science, Statistics Finland

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