Bifurcation control of optimal velocity model through anticipated effect and response time-delay feedback methods

Guan, Xueyi; Cheng, Rongjun; Ge, Hongxia

doi:10.1016/j.physa.2021.125972

Cited by 19 publications

(7 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This traffic flow has certain fluid properties such as mobility, fluctuation, surge, compression, and diffusion, which makes the macro traffic flow model a suitable descriptive tool. [38] To verify the traffic flow characteristics of the morning peak, we plot an actual driving road map, inter-vehicle distance versus time graph, and speed versus time graph are obtained as shown in Fig. 1.…”

Section: Improved Full-speed Differential Model In Connected Vehicle ...mentioning

confidence: 99%

See 1 more Smart Citation

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Ai 艾,

Lei 雷,

Li 李

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

In recent years, the traffic congestion problem has become more and more serious, and the study of traffic system control has become a new hot spot. Studying the bifurcation characteristics of traffic flow systems and designing control schemes for unstable pivots can alleviate the traffic congestion problem from a new perspective. In this paper, the full-speed differential model considering the vehicle network environment is improved to adjust the traffic flow from the perspective of bifurcation control. This paper theoretically proves the existence conditions of Hopf bifurcation and saddle-node bifurcation in the model, and finds the stability mutation point for the stability of the transportation system. For the unstable bifurcation point, a nonlinear system feedback controller is designed using Chebyshev polynomial approximation and stochastic feedback control method. The advancement, postponement, and elimination of Hopf bifurcation are achieved without changing the system equilibrium point, and the mutation behavior of the transportation system is controlled so as to alleviate the traffic congestion. In this paper, the changes in the stability of complex traffic systems are explained from the perspective of bifurcation analysis, which can better capture the characteristics of the traffic flow. By adjusting the control parameters in the feedback controllers, the influence of the boundary conditions on the stability of the traffic system is adequately described, and the effects of the unstable focuses and saddle points on the system are suppressed to slow down the traffic flow. In addition, the unstable bifurcation points can be eliminated and the Hopf bifurcation can be controlled to advance, delay, and disappear, so as to realize the control of the stability behavior of the traffic system, which can help to alleviate the traffic congestion as well as describe the actual traffic phenomena.

show abstract

Section: Improved Full-speed Differential Model In Connected Vehicle ...mentioning

confidence: 99%

“…(i) The current rear inter-vehicle distance is greater than the range recognized by the adaptive cruise system. ξ n is introduced to represent the disturbance of the adaptive cruise system, [38] and it is expressed as…”

Section: Vehicle-vehicle Communicationmentioning

confidence: 99%

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Ai 艾,

Lei 雷,

Li 李

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

show abstract

“…In recent years, the research and application of time-delay feedback control technology in the field of traffic flow have attracted the attention of some scholars. [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] In 2011, Ge [29] advanced a modified CM car-following model and its delayed feedback control scheme. In 2013, Jin and Hu [30] introduced a delayed feedback control of displacement and velocity difference based on the OV model.…”

Section: Extended Car-following Modelmentioning

confidence: 99%

“…Li et al [41] studied an improved car-following model in view of electronic throttle dynamics and the delay of velocity difference. Guan et al [42] offered a bifurcation control method based on the expected effect and response delay feedback. Recently, Li et al [43] developed a car-following model by considering the influence of the historical velocity on traffic.…”

Section: Extended Car-following Modelmentioning

confidence: 99%

A novel car-following model by sharing cooperative information transmission delayed effect under V2X environment and its additional energy consumption

et al. 2022

View full text Add to dashboard Cite

A novel car-following model is offered based on the cooperative information transmission delayed effect involving headway and velocity under V2X environment. The stability conditions and mKdV equation of the new model are obtained via the linear and nonlinear analysis. Through numerical simulation, the variation trend of headway and hysteresis phenomenon are researched. At the same time, we investigated the additional energy consumption of the vehicle during acceleration. In brief, theoretical analysis and simulation results confirm that the new car-following model based on the cooperative information transmission delayed effect can improve traffic stability and reduce additional energy consumption.

show abstract

“…Zhu and Zhang (2014) and Zhang and Zhu (2015) respectively proposed a speed feedback control strategy and a delayed feedback control strategy to enhance the stability of the car-following system and save energy and reduce emissions, and demonstrated effectiveness of the method. Guan et al (2021) developed a dual-delay feedback control strategy by considering the driver's reaction time and expected time at the same time, which significantly improved the efficiency of traffic operation. Applying the delay feedback control into OVM, the traffic congestion can be suppressed significantly (Jin and Meng, 2020).…”

Section: Introductionmentioning

confidence: 99%

Car-following traffic model based on PID control: modelling and simulation

Han

Zhang

Yang³

et al. 2022

View full text Add to dashboard Cite

PurposeThe performance of the classical car-following system is easily affected by external disturbances. To enhance the performance of the classical car-following model under sudden external disturbances, a novel car-following model is established to smooth traffic flow.Design/methodology/approachThis paper proposed a Proportion Integration Differentiation (PID) control strategy based on classical control theory and developed a novel car-following model. The linear system theory and Laplace transform are used to derive a closed-loop transfer function. Then, the stability condition is obtained by using the Routh stability criterion and the small gain theorem. Finally, the validity and feasibility of the PID control strategy is proved by numerical simulations.FindingsThe analytic results and the numerical simulation results show that both the integration part and the differential part have the positive effect to suppress traffic oscillation efficiently; the collaboration of these two parts has more power to improve the stability of traffic flow. It means that the proposed model integrated with the PID control strategy has the ability of anti-interference and smooth traffic compared with the classical car-following model.Originality/valueThis paper introduces the PID control strategy into the classical car-following system, which enhances the stability of the system and also provides an efficient method for optimizing the traffic flow system.

show abstract

Bifurcation control of optimal velocity model through anticipated effect and response time-delay feedback methods

Cited by 19 publications

References 23 publications

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment

A novel car-following model by sharing cooperative information transmission delayed effect under V2X environment and its additional energy consumption

Car-following traffic model based on PID control: modelling and simulation

Contact Info

Product

Resources

About