Robust optimal predictive perimeter control for multiple urban regions based on macroscopic fundamental diagram

The robust optimal predictive perimeter control for multiple urban regions is investigated in this paper based on a macroscopic fundamental diagram(MFD), which incorporates the uncertainty of the parameters in MFD. The goal of the formulated robust optimal control problem is to adjust the accumulate states to the desired states and to ensure the robustness of the system, so as to reduce the traffic congestion. A real-time algorithm under the robust model predictive control(MPC) scheme is proposed to solve the problem. Then, numerical examples are conducted in the paper to illustrate the practicality and robustness of the model, which can provide a useful and robust way to ensure the desired states in the MFD system.