Modelling and H∞ Control of Urban Transportation Network

In this paper, the controllability andH∞ control method of urban transportation network are considered. Firstly, the signal control of a network is modeled as a discrete-time state space model. It is found that the system is not completely controllable and hence, the system is decomposed into controllable subsystem and free one. To avoid congestion and reduce the impact of disturbance, H∞ control method is adapted and a traffic-responsive strategy under state and control constraints is constructed by means of Linear Matrix Inequality (LMI). Finally, a system including two intersections is studied in order to illustrate the result.