Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference

This study proposes a control strategy of vehicular traffic based on the lattice hydrodynamic model by taking the difference of density change rate as a feedback signal. In particular, a delay feedback control scheme is designed based on Nagatani's lattice model considering the effects of density change rate difference under the open boundary condition. Stability analysis of the lattice hydrodynamic model with the control signal is performed using the small gains theorem to obtain the stability condition. Results from numerical experiments including the single perturbation and multiple perturbations illustrate that the proposed control strategy can suppress traffic jam effectively and make the vehicular traffic flow to move into a comparatively homogeneous state.