Analyses of lattice hydrodynamic model using delayed feedback control with passing

• Published in: Physica A Vol. 510; pp. 446 - 455
• Main Authors: Kaur, Ramanpreet, Sharma, Sapna
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2018
• Subjects: Delayed feedback control; Lattice model; Passing; Passing; Lattice model; Delayed feedback control
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2018.06.118

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. •A lattice model using control theory is proposed by considering the effect of passing.•Stability analysis is conducted using control method and the effect of passing on traffic flow is examined.•The efficiency of control parameter in controlling traffic jams is shown through Bode plot.•Jamming transitions are analyzed through MKdV equation.•Theoretical results are validated through simulation.