Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference

Li, Yongfu; Zhang, Li; Zheng, Taixiong; Li, Yinguo

doi:10.1016/j.cnsns.2015.05.008

Cited by 56 publications

(4 citation statements)

References 27 publications

(44 reference statements)

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“…Currently, the exhaust pollution caused by traffic congestion has become the focus of scholarly attention. Hence, various traffic models, including microscopic models [1][2][3][4][5] and macroscopic traffic models, [6][7][8][9][10] were established by researchers to settle traffic problems.…”

Section: Introductionmentioning

confidence: 99%

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

Peng¹,

Chun-Li²,

Zhao³

et al. 2023

Chinese Phys. B

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A novel lattice hydrodynamic model is raised by integrating the cooperative deviation of density and optimal flux under V2X environment. According to theoretical analysis, the stability conditions and the mKdV equations affected by the cooperative deviation of traffic information are explored. And the density wave, hysteresis loop and energy consumption of traffic flow have been investigated via numerical simulation. The results indicate that the cooperative deviation of density and optimal flux can effectively alleviate traffic congestion. More importantly, our new consideration can reduce fuel consumption and exhaust emissions under V2X environment.

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Section: Introductionmentioning

confidence: 99%

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

Peng¹,

Chun-Li²,

Zhao³

et al. 2023

Chinese Phys. B

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show abstract

“…Redhu et al [21] studied the delay feedback control method in lattice hydrodynamic model. Later, scholars proposed many extended lattice hydrodynamic models by considering control methods under different tra c factors such as density change rate di erence [22], honk environment [23], interruption probability [24], the next-nearest-neighbor interactions [25]. Recently, Zhai et al [26] studied delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment.…”

Section: Introductionmentioning

confidence: 99%

Study on Energy Dissipation and Fuel Consumption in Lattice Hydrodynamic Model under Traffic Control

Wen

Xue

Cen

et al. 2022

Mathematical Problems in Engineering

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A lattice hydrodynamic traffic model considering the average optimal flow of multiple grids downstream as a feedback control is proposed. The energy dissipation and fuel consumption are investigated under the feedback control based on the lattice hydrodynamic traffic model. Through linear stability analysis, the stability condition of the model is obtained. The mKdV equation and its kink-antikink density wave solution are derived by using the reduced perturbation method of nonlinear analysis. The variation trends of density wave, energy dissipation, and fuel consumption under traffic control are studied by numerical simulations. The research shows that exerting the feedback control can effectively suppress traffic congestion and improve the stability of traffic system. Meanwhile, it can also reduce the energy dissipation and fuel consumption of traffic system.

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“…In 2015, Ge et al [16] applied the delayedfeedback control method to the lattice hydrodynamic model proposed by Nagatani. [2] Li et al [17] and Qin et al [18] respectively studied the effects of density change rate and flux change rate on traffic flow by the Laplace transform method. Liu et al [19] studied the lattice hydrodynamic model-based traffic control from the perspective of transportation cyberphysical system approach.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment*

Zhang¹,

Tian²

2021

Chinese Phys. B

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Under the environment of vehicle-to-vehicle (V2V) communication, the traffic information on a large scale can be obtained and used to coordinate the operation of road traffic system. In this paper, a new traffic lattice hydrodynamic model is proposed which considers the influence of multiple-lattice self-anticipative density integration on traffic flow in the V2V environment. Through theoretical analysis, the linear stability condition ofthe new model is derived and the stable condition can be enhanced when more-preceding-lattice self-anticipative density integration effect is taken into account. The property of the unstable traffic density wave in the unstable region is also studied according to thenonlinear analysis. It is shown that the unstable traffic density wave can be described by solving the modified Korteweg–de-Vries (mKdV) equation. Finally, the simulation results demonstrate the validity of the theoretical results. Both theoretical analysis and numerical simulations demonstrate that multiple-lattice self-anticipative density integrationeffect can enhance the stability of traffic flow system in the V2V environment.

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Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference

Cited by 56 publications

References 27 publications

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

Study on Energy Dissipation and Fuel Consumption in Lattice Hydrodynamic Model under Traffic Control

Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment*

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