Minimax Robust Control Approach to Dynamic Routing Problem

This paper deals with the dynamic routing problem of traffic flow through transportation networks by using variable message signs. Comparing with some previous researches, the paper considers the norm-bounded exogenous disturbance in the traffic model. By applying the MINIMAX control approach, it is shown that the resulting control law is of the bang-bang type. The genetic optimization method is used to calculate the control law. Finally, the contrast of the efficiency between MINIMAX routing control and optimal routing control is made, and it is shown that the MINIMAX robust control approach is preponderant.