83 Modeling and Reachabilty Analysis for a Single Intersection Based on Rectangular Hybrid Automata

A rectangular hybrid automata model of a four-phase intersection is given, in which the queue lengths are considered as continuous variables to represent the vehicle flow behavior of the intersection and the discrete event part represent the traffic light behavior. Based on the rectangular hybrid automata model, all directional vehicle flows are analyzed. A method for reachability analysis of rectangular hybrid automata is applied to analyze the maximum and minimum of each queue length of the single intersection. Simulation completed with the help of the toolbox CheckMate shows that the rectangular hybrid automata model and the method can not only perfectly represent the hybrid character of the dynamic traffic flow of the single intersection, but also can verify the efficiency of the timed scheme of the traffic light.