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arXiv · 1610.05890

Global Exponential Stabilization of Acyclic Traffic Networks

Maria Kontorinaki·Iasson Karafyllis·Markos Papageorgiou
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Abstract

This work is devoted to the construction of explicit feedback control laws for the robust, global, exponential stabilization of general, uncertain, discrete-time, acyclic traffic networks. We consider discrete-time, uncertain network models which satisfy very weak assumptions. The construction of the controllers and the rigorous proof of the robust, global, exponential stability for the closed-loop system are based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. It is shown, in this study, that the latter requirement is necessary for the existence of a robust, global, exponential stabilizer of the desired uncongested equilibrium point of the network. An illustrative example demonstrates the applicability of the obtained results to realistic traffic flow networks.

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Maria Kontorinaki, Iasson Karafyllis, Markos Papageorgiou. 2016-10-19. Global Exponential Stabilization of Acyclic Traffic Networks. https://arxiv.org/abs/1610.05890

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