Stop-and-go suppression in two-class congested traffic

Abstract This paper develops an output feedback control law in order to damp out traffic oscillations the congested regime of linearized two-class Aw-Rascle (AR) model. The macroscopic second-order AR model consists four hyperbolic partial differential equations (PDEs) describing dynamics densities and velocities on freeway. Each vehicle class is characterized by its own size driver’s behavior. considered equilibrium profiles represent evenly distributed with constant both classes along investigated track section. After linearizing around those profiles, it observed that one characteristic speeds negative, whereas remaining three are positive. Backstepping design employed stabilize 4 × 4 heterodirectional PDEs. input actuates flow at outlet section realized a ramp metering. controller obtained designing anti-collocated observer combining full state result. Overall, achieves damping stop-and-go waves finite time measuring inlet performance developed verified simulation quantified indices for fuel consumption, comfort total travel time.