Nonlinear feedback control for general acyclic traffic networks

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 is based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. 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.