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Delayed-feedback control in multi-lane traffic system

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  • Madaan, Nikita
  • Sharma, Sapna

Abstract

In this paper, we investigate the effect of delayed feedback control on a multi-lane system. An extended lattice hydrodynamic model is derived on a multi-lane road which includes more comprehensive information. The stability condition is obtained via control method (based on the Hurwitz criteria and the H∞- norm). The Bode-plot of transfer function shows that the stability region enhances when delayed-feedback controller on multi-lane system is considered. To describe the propagating behavior of traffic density wave near the critical point, the modified Korteweg–de Vries (mKdV) equation is formulated through nonlinear analysis. It is concluded that considering the delayed-feedback control in the multi-lane system contributes to mitigating traffic jams. All the theoretical results are verified in both transient and steady state with numerical simulations on a hypothetical circular road.

Suggested Citation

  • Madaan, Nikita & Sharma, Sapna, 2022. "Delayed-feedback control in multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    • Handle: RePEc:eee:phsmap:v:599:y:2022:i:c:s0378437122002990
    DOI: 10.1016/j.physa.2022.127393
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