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In this paper, we introduce a new conservation-based approach to modeltraffic dynamics, and apply the model predictive control (MPC) approach tocontrol the boundary traffic inflow and outflow, so that the traffic congestionis reduced. We establish an interface between the Simulation of Urban Mobility(SUMO) software and MATLAB to define a network of interconnected roads (NOIR)as a directed graph, and present traffic congestion management as a networkcontrol problem. By formally specifying the traffic feasibility conditions, andusing the linear temporal logic, we present the proposed MPC-based boundarycontrol problem as a quadratic programming with linear equality and inequalityconstraints. The success of the proposed traffic boundary control isdemonstrated by simulation of traffic congestion control in Center CityPhiladelphia.

Boundary Control of Traffic Congestion Modeled as a Non-stationary Stochastic Process