Bifurcation analysis and control strategy for a car-following model considering jerk behavior

Yuan Tang, Yu Xue, Mu-Yang Huang, Qi-Yun Wen, Bing-Ling Cen and Dong Chen

Physica A: Statistical Mechanics and its Applications, 2023, vol. 618, issue C

Abstract: To further improve the adaptability of the optimal velocity model (OVM) in the actual traffic flow, this paper proposes a car-following model that considers both the jerk effect and time-delayed feedback control. To study the dynamic behavior of this model, the following analysis is carried out: A stability conditions and equilibrium points controlling OVM are obtained by stability analysis and Hopf bifurcation analysis; Using the intuitive and accurate definite integral stabilization method (DIS), by calculating the number of all unstable eigenvalues of the characteristic equation, we obtain a stable time-delayed interval, and a time-delayed feedback controller is designed to stabilize the traffic system. The results show that the time-delayed feedback controller expands stable time-delayed interval, suppresses the influence of unstable factors on the traffic system, and improves stability of vehicle traffic; Numerical simulations agree with the theoretical results, indicating that the time-delayed feedback controller can effectively suppress traffic congestion and control the managed traffic.

Keywords: Traffic congestion; Hopf bifurcation; Definite integral stability (DIS) method; Time-delayed feedback controller (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:618:y:2023:i:c:s0378437123002479

DOI: 10.1016/j.physa.2023.128692

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