Single-Region Robust Perimeter Traffic Flow Control

In this paper, we propose a two-stage robust perimeter flow control policy to prevent congestion in single-region transport networks. We describe the single-region traffic dynamics by utilising the so-called Macroscopic or Network Fundamental Diagram (MFD or NFD), a nonlinear relation between network-wide mean flow and accumulation of vehicles. By using MFD relaxation conditions and structuring uncertainties, we reformulate the nonlinear flow dynamics to set of uncertain Linear Parametrically Varying (LPV) ones