A piecewise switched linear approach for traffic flow modeling

Integrating Model-Based Observer and Kullback–Leibler Metric for Estimating and Detecting Road Traffic Congestion

“…The piecewise switched linear model (PWSL) is a macroscopic traffic model, which is driven from the macroscopic Daganzo's Cell transmission model [23], [44]. It is a simple modified and linearised macroscopic version of CTM model.…”

“…and c ∈ R 2×N are given matrices with structures that relies on the state of traffic in the considered road segment. More details about the PWSL model can be found in [23].…”

“…We applied the calibration methodology given in [23], [50] to the considered road segment for identifying the triangular FD form and estimating the parameters of the PWSL model for each cell (Table I). To design the observer, we first consider that the initial value of the observer is 0 0 0 0 T , and that the observer is initially in free-flow status mode (mode 1).…”

“…Recently, hybrid modeling approaches have received much attention due to their ability to models traffic dynamics by considering several phenomena, such as congestion wave propagation [22], [23]. The piecewise switched linear (PWSL) traffic model is one of the most recent hybrid macroscopic models for traffic modeling [23]. It describes the traffic dynamics through the interaction of continuous traffic density evolution and the discrete event of congestion wave propagation.…”

“…Specifically, it is a linearized and simplified version of the cell transmission model, which is commonly used in traffic modeling literature [21]. Of course, the PWSL model permits the description of several traffic phenomena which make it suitable for various applications of estimation, control, and monitoring [23]. This fact is mainly due to its flexibility in modeling, its simplicity of computation and facility to implementation.…”