Stability of a Complex Traffic Flow Problem: A Delay-Dependent Perturbation Filter Design

Complex traffic flow is a huge concern towards achieving an efficient transportation system. It involves handling all the operational issues and effects while regulating the traffic system. These operational issues also have situation of uncertainties and vagueness. In this paper, the uncertainties in the form of perturbation have been the focus of study in the theory of traffic. To achieve that, the moving-block train model has been utilized for the perturbation analysis. Firstly, a delay-dependent moving-block model is represented. This model considered the dynamics of position and velocity in the perturbation modeling of system. These dynamics have been extracted from a measurement sensor. Secondly, an augmented Lyapunov- Krasoviskii function (ALKF) is built on this model for the realization of feasible region of stability. Numerical evaluations were made on a moving-block model. Results showed an effective implementation of the proposed scheme.