Global exponential stabilisation of 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 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.

Traffic Flow Modeling of Freeway Variable Speed Limit Control Based on the Big Data of Driving Behavior

“…e essential basic research content of VSL is traffic flow modeling. Macroscopic models are an important component of VSL modeling, which can be divided into two categories in terms of the characteristics of different VSL traffic flows [6][7][8][9]. One category is well studied, considering the influence of VSL on the equilibrium speed relationship [10][11][12][13][14].…”