Analyses of lattice hydrodynamic model using delayed feedback control with passing

Delayed feedback control method is used for one dimensional lattice model by incorporating the effect of passing. In order to check the stability of system under control theory Hurwitz criteria is used and H ∞ norm of transfer functions are obtained. The efficiency of control signal in minimizing the jamming transitions due to passing, is shown through Bode plot. The results show that the control parameter helps in reducing congestion and makes the flow stable even at higher rate of passing. Simulations are carried out and are found in good agreement with theoretical results.