Delayed-feedback control in a Lattice hydrodynamic model

• We presented a delayed-feedback control method for lattice hydrodynamic model.
• We find the stability condition using Hurwitz criteria and condition for transfer function.
• The control parameters are computed through Bode-plot of transfer function.
• The effect of delayed-feedback control is examined theoretically as well as numerically.

The delayed-feedback control (DFC) method for lattice hydrodynamic traffic flow model is investigated on a unidirectional road. By using the Hurwitz criteria and the condition for transfer function in term of H∞H∞-norm, we designed the feedback gain and delay time to stabilize the traffic flow and suppress the traffic jam. The Bode-plot of transfer function have been plotted and discussed that the stability region enhances with delayed-feedback control. It is shown that the delayed-feedback control method stabilizes the traffic flow and suppresses the traffic jam efficiently. The simulation results are in good agreement with the theoretical analysis.