Constrained sliding mode control for urban transportation network

This paper aims at presenting a Sliding Mode Control with constraints for urban transportation network. Firstly, by applying the store-and-forward approach, the transportation network is modeled into a linear model. Then, the controllability analysis has shown that the system is not totally controllable. Hence, it is split into controllable subsystem and uncontrollable one. Furthermore, the Sliding Mode Control is applied in order to prevent the congestion in the network and reduce the effect of disturbance. By applying the proposed traffic signal control strategy, we achieved our objective and at the same time we respected the constraints on the state and the control by means of Linear Matrix Inequality (LMI). Finally, a simulation for a network with four intersections is realized to show the performance of the results.

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