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Abstract: In order to alleviate unstable factor-caused bifurcation and reduce oscillations in traffic flow, a feedback control with consideration of time delay is designed for the solid angle model (SAM). The stability and bifurcation condition of the new SAM is derived through linear analysis and bifurcation analysis, and then accurate range of stable region is obtained. In order to explore the mechanism of the influence of multiple parameter combinations on the stability of controlled systems, a definite integral stabilization method is provided to determine the stable interval of time delay and feedback gain. Numerical simulations are explored to verify the feasibility and effectiveness of the proposed model, which also demonstrate that feedback gain and delay are two key factors to alleviate traffic congestion in the SAM.

通过延时反馈法对实角汽车跟驰模型进行分叉控制

[1]AndersenGJ, SauerCW, 2007. Optical information for car following: the driving by Visual Angle (DVA) model. Human Factors: The Journal of the Human Factors and Ergonomics Society, 49(5):878-896.

[2]BandoM, HasebeK, NakayamaA, et al., 1995. Dynamical model of traffic congestion and numerical simulation. Physical Review E, 51(2):1035-1042.

[3]BandoM, HasebeK, NakanishiK, et al., 1998. Analysis of optimal velocity model with explicit delay. Physical Review E, 58(5):5429-5435.

[4]ChengRJ, LiuFX, GeHX, 2017. A new continuum model based on full velocity difference model considering traffic jerk effect. Nonlinear Dynamics, 89(1):639-649.

[5]DasS, MauryaAK, 2022. A car-following model considering driver’s instantaneous reaction delay in nonlane-based traffic environments. Journal of Transportation Engineering, Part A: Systems, 148(8):1-13.

[6]FangYL, ShiZK, CaoJL, 2015. Congestion phenomenon analysis and delayed-feedback control in a modified coupled map traffic flow model containing the velocity difference. Communications in Nonlinear Science and Numerical Simulation, 23(1-3):175-184.

[7]GeHX, ZhengPJ, LoSM, et al., 2014. TDGL equation in lattice hydrodynamic model considering driver’s physical delay. Nonlinear Dynamics, 76(1):441-445.

[8]GeroliminisN, KarlaftisMG, SkabardonisA, 2009. A spatial queuing model for the emergency vehicle districting and location problem. Transportation Research Part B: Methodological, 43(7):798-811.

[9]GuanXY, ChengRJ, GeHX, 2022. Bifurcation analysis of visual angle model with anticipated time and stabilizing driving behavior. Chinese Physics B, 31:070507.

[10]HelbingD, TreiberM, 1998. Gas-kinetic-based traffic model explaining observed hysteretic phase transition. Physical Review Letters, 81(14):3042-3045.

[11]HelbingD, TilchB, 1998. Generalized force model of traffic dynamics. Physical Review E, 58(1):133-138.

[12]HermanR, MontrollEW, PottsRB, et al., 1959. Traffic dynamics: analysis of stability in car following. Operations Research, 7(1):86-106.

[13]JiangN, YuB, CaoF, et al., 2021. An extended visual angle car-following model considering the vehicle types in the adjacent lane. Physica A: Statistical Mechanics and Its Applications, 566:125665.

[14]JiangR, WuQS, ZhuZJ, 2001. Full velocity difference model for a car-following theory. Physical Review E, 64(1):017101.

[15]JinS, WangDH, HuangZY, et al., 2011. Visual angle model for car-following theory. Physica A: Statistical Mechanics and Its Applications, 390(11):1931-1940.

[16]JinYF, XuM, 2016. Stability analysis in a car-following model with reaction-time delay and delayed feedback control. Physica A: Statistical Mechanics and Its Applications, 459:107-116.

[17]KongDW, SunLS, LiJ, et al., 2021. Modeling cars and trucks in the heterogeneous traffic based on car-truck combination effect using cellular automata. Physica A: Statistical Mechanics and Its Applications, 562:125329.

[18]KonishiK, HiraiM, KokameH, 1998. Decentralized delayed-feedback control of a coupled map model for open flow. Physical Review E, 58(3):3055-3059.

[19]KonishiK, KokameH, HirataK, 1999. Coupled map car-following model and its delayed-feedback control. Physical Review E, 60(4):4000-4007.

[20]KonishiK, KokameH, HirataK, 2000. Decentralized delayed-feedback control of an optimal velocity traffic model. The European Physical Journal B-Condensed Matter and Complex Systems, 15(4):715-722.

[21]MaDF, HanYY, JinS, 2020. Solid angle car following model. Chinese Physics B, 29(6):060504.

[22]MichaelsRM, CozanLW, 1963. Perceptual and field factors causing lateral displacement. Highway Research Record, 25:1-13.

[23]MilanésV, ShladoverSE, 2014. Modeling cooperative and autonomous adaptive cruise control dynamic responses using experimental data. Transportation Research Part C: Emerging Technologies, 48:285-300.

[24]NgoduyD, LiTL, 2021. Hopf bifurcation structure of a generic car-following model with multiple time delays. Transportmetrica A: Transport Science, 17(4):878-896.

[25]OssenS, HoogendoornSP, GorteBGH, 2006. Interdriver differences in car-following: a vehicle trajectory-based study. Transportation Research Record, 1965(1):121-129.

[26]SunJ, ZhengZD, SunJ, 2018. Stability analysis methods and their applicability to car-following models in conventional and connected environments. Transportation Research Part B: Methodological, 109:212-237.

[27]TreiberM, KestingA, HelbingD, 2006. Delays, inaccuracies and anticipation in microscopic traffic models. Physica A: Statistical Mechanics and Its Applications, 360(1):71-88.

[28]van WinsumW, 1999. The human element in car following models. Transportation Research Part F: Traffic Psychology and Behaviour, 2(4):207-211.

[29]WiedemannR, 1974. Simulation of Road Traffic in Traffic Flow. University of Karlsruhe, Karlsruhe, Germany.

[30]XieDF, ZhaoXM, HeZB, 2019. Heterogeneous traffic mixing regular and connected vehicles: modeling and stabilization. IEEE Transactions on Intelligent Transportation Systems, 20(6):2060-2071.

[31]YuSW, LiuQL, LiXH, 2013. Full velocity difference and acceleration model for a car-following theory. Communications in Nonlinear Science and Numerical Simulation, 18(5):1229-1234.

[32]ZhangXZ, ShiZK, ChenJZ, et al., 2023. A bi-directional visual angle car-following model considering collision sensitivity. Physica A: Statistical Mechanics and Its Applications, 609:128326.

[33]ZhangYC, XueY, ZhangP, et al., 2019. Bifurcation analysis of traffic flow through an improved car-following model considering the time-delayed velocity difference. Physica A: Statistical Mechanics and Its Applications, 514:133-140.

[34]ZhaoXM, GaoZY, 2006. A control method for congested traffic induced by bottlenecks in the coupled map car-following model. Physica A: Statistical Mechanics and Its Applications, 366:513-522.