Constrained control for urban transportation network

This paper focuses on the traffic signal control strategy which can prevent the traffic congestion by forcing the number of vehicles to not overtake the capacity of the lane. Firstly, the store-and-forward approach is applied to model the transportation network into a linear discrete-time state space model. Then, by using the concept of positive invariance of sets, we construct a state feedback traffic light control law that allows us to attain our goals with respect the constraints on both state and control variables. Finally, an example with eight intersections is worked out in order to illustrate the results.

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