A reduced order observer for Switching-Mode Model state estimation

In this paper, we investigate the application of a reduced-order observer for state estimation of freeway traffic flow described by the so-called Switching Mode Model (SMM). SMM is derived from the Cell Transmission Model and then applied to the reconstruction of the traffic density, considered as state variable. As the SMM is a hybrid system which switches depending on the traffic conditions along the freeway, the paper shows how, the proposed estimation method takes into account such different modes. Several numerical simulation with different data demonstrate the relevance of the proposed algorithm.