Asymptotic Behaviour of Platoon Systems
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review
Details
Original language | English |
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Title of host publication | Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems |
Publisher | University of Minnesota |
Pages | 830-836 |
Number of pages | 7 |
ISBN (Electronic) | 978-1-5323-1358-5 |
Publication status | Published - Jul 2016 |
Publication type | A4 Article in a conference publication |
Event | INTERNATIONAL SYMPOSIUM ON MATHEMATICAL THEORY OF NETWORKS AND SYSTEMS - Duration: 1 Jan 1900 → … |
Conference
Conference | INTERNATIONAL SYMPOSIUM ON MATHEMATICAL THEORY OF NETWORKS AND SYSTEMS |
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Period | 1/01/00 → … |
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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