An extended car-following model under V2V communication environment and its delayed-feedback control

Abstract An improved car-following model is presented under V2V communication situation, in which the effect of two successive vehicles in front is taken into account. The control signal including the velocity difference between the considered vehicle and the target vehicle is taken into account. In addition, the delayed two-velocity difference is introduced. The stability condition for the extended model is derived by feedback control method. The energy consumption of the extended model is also studied. The results of numerical simulations illustrate that the control signal not only suppresses traffic jam, but also depresses the energy consumption, which are consistent with the theoretical analysis.

[1]  Jian Zhang,et al.  Modeling electric bicycle’s lane-changing and retrograde behaviors , 2018 .

[2]  Arvind Kumar Gupta,et al.  Delayed-feedback control in a Lattice hydrodynamic model , 2015, Commun. Nonlinear Sci. Numer. Simul..

[3]  Ziyou Gao,et al.  A control method for congested traffic induced by bottlenecks in the coupled map car-following model , 2006 .

[4]  Zhongke Shi,et al.  Impacts analysis of car following models considering variable vehicular gap policies , 2018, Physica A: Statistical Mechanics and its Applications.

[5]  G. Peng,et al.  A dynamical model of car-following with the consideration of the multiple information of preceding cars , 2010 .

[6]  Tie-Qiao Tang,et al.  An evacuation model accounting for elementary students’ individual properties , 2015 .

[7]  Wen-xing Zhu,et al.  A speed feedback control strategy for car-following model , 2014 .

[8]  Dong Li-Yun,et al.  An improved cellular automaton model considering the effect of traffic lights and driving behaviour , 2011 .

[9]  Hai-Jun Huang,et al.  A new macro model with consideration of the traffic interruption probability , 2008 .

[10]  Xue Yu A car-following model with stochastically considering the relative velocity in a traffic flow , 2003 .

[11]  Tie-Qiao Tang,et al.  A new car-following model accounting for varying road condition , 2012 .

[12]  Guanghan Peng,et al.  A new car-following model with the consideration of anticipation optimal velocity , 2013 .

[13]  Wenzhong Li,et al.  Stability analysis of an extended intelligent driver model and its simulations under open boundary condition , 2015 .

[14]  Wen-xing Zhu,et al.  Friction coefficient and radius of curvature effects upon traffic flow on a curved Road , 2012 .

[15]  Ge Hong-Xia,et al.  An extended continuum model considering optimal velocity change with memory and numerical tests , 2018 .

[16]  张辉,et al.  A control method for congested traffic in the coupled map car-following model , 2009 .

[17]  Mao-Bin Hu,et al.  Traffic Experiment Reveals the Nature of Car-Following , 2014, PloS one.

[18]  R. Jiang,et al.  A new continuum model for traffic flow and numerical tests , 2002 .

[19]  Ge Hong-Xia,et al.  Considering two-velocity difference effect for coupled map car-following model , 2011 .

[20]  Dirk Helbing Derivation and empirical validation of a refined traffic flow model , 1996 .

[21]  Xue Yu,et al.  The Effect of the Relative Velocity on Traffic Flow , 2002 .

[22]  G. F. Newell Nonlinear Effects in the Dynamics of Car Following , 1961 .

[23]  R. Jiang,et al.  Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Ge Hong-Xia,et al.  A modified coupled map car-following model based on application of intelligent transportation system and control of traffic congestion , 2007 .

[25]  Tie-Qiao Tang,et al.  A car-following model accounting for the driver’s attribution , 2014 .

[26]  Rongjun Cheng,et al.  An extended macro traffic flow model accounting for multiple optimal velocity functions with different probabilities , 2017 .

[27]  Liu Yuncai,et al.  An Improved Car-Following Model for Multiphase Vehicular Traffic Flow and Numerical Tests , 2006 .

[28]  Qi Xin,et al.  Relative velocity difference model for the car-following theory , 2018 .

[29]  Rongjun Cheng,et al.  An improved continuum model for traffic flow considering driver's memory during a period of time and numerical tests , 2017 .

[30]  Dong Ngoduy,et al.  Enhanced cooperative car-following traffic model with the combination of V2V and V2I communication , 2016 .

[31]  S. Dai,et al.  Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  K Konishi,et al.  Coupled map car-following model and its delayed-feedback control. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  Nan Zheng,et al.  Modelling the driving behaviour at a signalised intersection with the information of remaining green time , 2017 .

[35]  Wang Hao,et al.  A car-following model with the consideration of vehicle-to-vehicle communication technology , 2016 .

[36]  Hongxia Ge,et al.  Two velocity difference model for a car following theory , 2008 .

[37]  Dirk Helbing,et al.  Micro- and macro-simulation of freeway traffic , 2002 .

[38]  Liu Yuncai,et al.  A velocity-difference-separation model for car-following theory , 2006 .

[39]  Takashi Nagatani,et al.  Kinetic segregation in a multilane highway traffic flow , 1997 .

[40]  Jian Zhang,et al.  A cellular automation model accounting for bicycle’s group behavior , 2018 .

[41]  Tie-Qiao Tang,et al.  Impacts of moving bottlenecks on traffic flow , 2018 .

[42]  Tie-Qiao Tang,et al.  An extended two-lane car-following model accounting for inter-vehicle communication , 2018 .

[43]  Hai-Jun Huang,et al.  Influences of the driver’s bounded rationality on micro driving behavior, fuel consumption and emissions , 2015 .

[44]  Hai-Jun Huang,et al.  A new car-following model with the consideration of the driver's forecast effect , 2010 .

[45]  Dirk Helbing,et al.  GENERALIZED FORCE MODEL OF TRAFFIC DYNAMICS , 1998 .

[46]  L. A. Pipes An Operational Analysis of Traffic Dynamics , 1953 .

[47]  Zhu Wen-xing,et al.  A new car-following model for autonomous vehicles flow with mean expected velocity field , 2018 .

[48]  Zhongke Shi,et al.  Dynamics of connected cruise control systems considering velocity changes with memory feedback , 2015 .

[49]  Rongjun Cheng,et al.  A new lattice hydrodynamic model based on control method considering the flux change rate and delay feedback signal , 2018 .

[50]  Zhongke Shi,et al.  An extended car-following model considering vehicular gap fluctuation , 2015 .

[51]  Jia Lei,et al.  Nonlinear Analysis of a Synthesized Optimal Velocity Model for Traffic Flow , 2008 .

[52]  Hai-Jun Huang,et al.  Macroscopic modeling of lane‐changing for two‐lane traffic flow , 2009 .

[53]  Hai-Jun Huang,et al.  AN EXTENDED OV MODEL WITH CONSIDERATION OF DRIVER'S MEMORY , 2009 .

[54]  Rongjun Cheng,et al.  Nonlinear density wave investigation for an extended car-following model considering driver’s memory and jerk , 2018 .