Consensus-Based Control Strategy for Mixed Platoon under Delayed V2X Environment
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 149, Issue 5
Abstract
This paper develops a mixed platoon control strategy incorporating vehicle dynamics and time-varying vehicle-to-everything (V2X) delays to guarantee the consensus of a mixed platoon and reduce the impacts caused by the inconstant driving behavior of human-driven vehicles (HVs). In particular, a system control framework is established for a mixed vehicle platoon, which bears HVs and connected automated vehicles (CAVs). More precisely, this system control framework considers directly controlling CAVs and indirectly guiding the HVs to improve the consensus of the whole platoon with respect to velocity error and headway. Furthermore, based on the third-order closed-loop dynamic model, the consideration of vehicle dynamics and time-varying delays are taken into account. Then, theoretical analysis employs Lyapunov–Krasovskii theory to derive the delay boundary that determines the asymptotic stability and local string stability. Finally, a performance comparison with the existing algorithm is carried out to further demonstrate the advantages of the proposed strategy.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Key Research &Development Program, China (Grant No. 2021YFB2501000), the National Natural Science Foundation of China (Grant No. 62073049), and the Fundamental Research Funds for the Central Universities (Grant No. 2022CDJKYJH038).
References
Alasmary, W., and W. Zhuang. 2012. “Mobility impact in IEEE 802.11p infrastructureless vehicular networks.” Ad Hoc Networks 10 (2): 222–230. https://doi.org/10.1016/j.adhoc.2010.06.006.
Bernardo, M. D., P. Falcone, A. Salvi, and S. Santini. 2015. “Design, analysis, and experimental validation of a distributed protocol for platooning in the presence of time-varying heterogeneous delays.” IEEE Trans. Control Syst. Technol. 24 (2): 413–427. https://doi.org/10.1109/TCST.2015.2437336.
Bian, Y., Y. Zheng, W. Ren, S. E. Li, J. Wang, and K. Li. 2019. “Reducing time headway for platooning of connected vehicles via V2V communication.” Transp. Res. Part. C Emerging Technol. 102 (May): 87–105. https://doi.org/10.1016/j.trc.2019.03.002.
Briat, C. 2014. “Linear parameter-varying and time-delay systems.” In Analysis, observation, filtering & control, 5–7. Berlin: Springer.
Chen, C., J. Wang, Q. Xu, J. Wang, and K. Li. 2021. “Mixed platoon control of automated and human-driven vehicles at a signalized intersection: Dynamical analysis and optimal control.” Transp. Res. Part. C Emerging Technol. 127 (Jun): 103138. https://doi.org/10.1016/j.trc.2021.103138.
Divakarla, K. P., A. Emadi, and S. Razavi. 2018. “A cognitive advanced driver assistance systems architecture for autonomous-capable electrified vehicles.” IEEE Trans. Transp. Electr. 5 (1): 48–58. https://doi.org/10.1109/TTE.2018.2870819.
Dolk, V., J. D. Ouden, S. Steeghs, and J. G. Devanesan. 2018. “Cooperative automated driving for various traffic scenarios: Experimental validation in the GCDC 2016.” IEEE Trans. Intell. Transp. Syst. 19 (4): 1308–1321. https://doi.org/10.1109/TITS.2017.2750079.
Ghasemi, A., R. Kazemi, and S. Azadi. 2013. “Stable decentralized control of platoon of vehicles with heterogeneous information feedback.” IEEE Trans. Veh. Technol. 62 (9): 4299–4308. https://doi.org/10.1109/TVT.2013.2253500.
Ghiasi, A., O. Hussain, Z. S. Qian, and X. Li. 2017. “A mixed traffic capacity analysis and lane management model for connected automated vehicles: A Markov chain method.” Transp. Res. Part. B Methodol. 106 (Dec): 266–292. https://doi.org/10.1016/j.trb.2017.09.022.
Ghiasi, A., X. Li, and J. Ma. 2019. “A mixed traffic speed harmonization model with connected autonomous vehicles.” Transp. Res. Part. C Emerging Technol. 104 (Jun): 210–233. https://doi.org/10.1016/j.trc.2019.05.005.
Gong, S., and L. Du. 2018. “Cooperative platoon control for a mixed traffic flow including human drive vehicles and connected and autonomous vehicles.” Transp. Res. Part. B Methodol. 116 (Oct): 25–61. https://doi.org/10.1016/j.trb.2018.07.005.
Gu, K., V. L. Kharitonov, and J. Chen. 2012. Stability of time-delay systems (control engineering). Boston: Birkhäuser.
Hajdu, D., J. Ge, T. Insperger, and G. Orosz. 2019. “Robust design of connected cruise control among human-driven vehicles.” IEEE Trans. Intell. Transp. Syst. 21 (2): 749–761. https://doi.org/10.1109/TITS.2019.2897149.
Hale, J. K., and S. M. V. Lunel. 1993. Introduction to functional differential equations. New York: Springer.
Horn, R., and C. Johnson. 1987. Matrix analysis. Cambridge, UK: Cambridge University Press.
Huang, M., W. Gao, and Z. Jiang. 2019. “Connected cruise control with delayed feedback and disturbance: An adaptive dynamic programming approach.” Int. J. Adapt. Control Signal Process. 33 (2): 356–370. https://doi.org/10.1002/acs.2834.
Jia, D., D. Ngoduy, and H. L. Vu. 2019. “A multiclass microscopic model for heterogeneous platoon with vehicle-to-vehicle communication.” Transportmetrica B: Transp. Dyn. 7 (Feb): 448–472. https://doi.org/10.1080/21680566.2018.1434021.
Jiang, H., J. Hu, S. An, and B. B. Park. 2017. “Eco approaching at an isolated signalized intersection under partially connected and automated vehicles environment.” Transp. Res. Part. C Emerging Technol. 79 (Jun): 290–307. https://doi.org/10.1016/j.trc.2017.04.001.
Jiang, R., M. Hu, B. Jia, R. Wang, and Q. Wu. 2007. “Phase transition in a mixture of adaptive cruise control vehicles and manual vehicles.” Eur. Phys. J. B. 58 (2): 197–206. https://doi.org/10.1140/epjb/e2007-00215-3.
Jin, S., D. Sun, M. Zhao, Y. Li, and J. Chen. 2020. “Modeling and stability analysis of mixed traffic with conventional and connected automated vehicles from cyber physical perspective.” Physica A 551 (Aug): 124217. https://doi.org/10.1016/j.physa.2020.124217.
Lee, S., E. Jeong, and M. Oh. 2019. “Driving aggressiveness management policy to enhance the performance of mixed traffic conditions in automated driving environments.” Transp. Res. Part A Policy Pract. 121 (Mar): 136–146. https://doi.org/10.1016/j.tra.2019.01.010.
Li, E. S., K. Deng, Y. Zheng, and H. Peng. 2015. “Effect of pulse-and-glide strategy on traffic flow for a platoon of mixed automated and manually driven vehicles.” Comput.-Aided Civ. Infrastruct. Eng. 30 (11): 892–905. https://doi.org/10.1111/mice.12168.
Li, T., F. Guo, R. Krishnan, A. Sivakumar, and J. Polak. 2020. “Right-of-way reallocation for mixed flow of autonomous vehicles and human driven vehicles.” Transp. Res. Part C Emerging Technol. 115 (Jun): 102630. https://doi.org/10.1016/j.trc.2020.102630.
Li, Y., D. Sun, W. Liu, M. Zhang, M. Zhao, X. Liao, and L. Tang. 2011. “Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference.” Nonlinear Dyn. 66 (1–2): 15–28. https://doi.org/10.1007/s11071-010-9907-z.
Li, Y., D. Sun, M. Zhao, D. Chen, S. Cheng, and F. Xie. 2018. “Switched cooperative driving model towards human vehicle copiloting situation: A cyber physical perspective.” J. Adv. Transp. 2018 (Feb): 1–11. https://doi.org/10.1155/2018/6873472.
Li, Y., C. Tang, S. Peeta, and Y. Wang. 2019. “Nonlinear consensus-based connected vehicle platoon control incorporating car-following interactions and heterogeneous time delays.” IEEE Trans. Intell. Transp. Syst. 20 (6): 2209–2219. https://doi.org/10.1109/TITS.2018.2865546.
Lin, F., M. Fardad, and M. R. Jovanovic. 2011. “Optimal control of vehicular formations with nearest neighbor interactions.” IEEE Trans. Autom. Control. 57 (9): 2203–2218. https://doi.org/10.1109/TAC.2011.2181790.
Liu, H., D. Sun, and M. Zhao. 2016. “Analysis of traffic flow based on car-following theory: A cyber-physical perspective.” Nonlinear Dyn. 84 (2): 881–893. https://doi.org/10.1007/s11071-015-2534-y.
Mohajerpoor, R., and M. Ramezani. 2019. “Mixed flow of autonomous and human-driven vehicles: Analytical headway modeling and optimal lane management.” Transp. Res. Part C Emerging Technol. 109 (Dec): 194–210. https://doi.org/10.1016/j.trc.2019.10.009.
Navas, F., and V. Milanés. 2019. “Mixing V2V-and non-V2V-equipped vehicles in car following.” Transp. Res. Part C Emerging Technol. 108 (Nov): 167–181. https://doi.org/10.1016/j.trc.2019.08.021.
Orki, O., and S. Arogeti. 2019. “Control of mixed platoons consist of automated and manual vehicles.” In Proc., IEEE Int. Conf. on Connected Vehicles and Expo, 1–6. New York: IEEE.
Saeednia, M., and M. Menendez. 2016. “A consensus-based algorithm for truck platooning.” IEEE Trans. Intell. Transp. Syst. 18 (2): 404–415. https://doi.org/10.1109/TITS.2016.2579260.
Stankovic, S., M. Stanojevic, and D. Siljak. 2000. “Decentralized overlapping control of a platoon of vehicles.” IEEE Trans. Control Syst. Technol. 8 (5): 816–832. https://doi.org/10.1109/87.865854.
Swaroop, D., and J. K. Hedrick. 1996. “String stability of interconnected systems.” IEEE Trans. Autom. Control. 41 (3): 349–357. https://doi.org/10.1109/9.486636.
Wan, N. F., A. Vahidi, and A. Luckow. 2016. “Optimal speed advisory for connected vehicles in arterial roads and the impact on mixed traffic.” Transp. Res. Part C Emerging Technol. 69 (Aug): 548–563. https://doi.org/10.1016/j.trc.2016.01.011.
Wang, J., S. Peeta, and X. He. 2019. “Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles.” Transp. Res. Part B Methodol. 126 (Aug): 139–168. https://doi.org/10.1016/j.trb.2019.05.022.
Wang, M. 2018. “Infrastructure assisted adaptive driving to stabilise heterogeneous vehicle strings.” Transp. Res. Part C Emerging Technol. 91 (Jun): 276–295. https://doi.org/10.1016/j.trc.2018.04.010.
Wang, M., W. Daamen, S. P. Hoogendoorn, and B. V. Arern. 2014. “Rolling horizon control framework for driver assistance systems. Part II: Cooperative sensing and cooperative control.” Transp. Res. Part C Emerging Technol. 40 (Mar): 290–311. https://doi.org/10.1016/j.trc.2013.11.024.
Xie, D., X. Zhao, and Z. He. 2019. “Heterogeneous traffic mixing regular and connected vehicles: Modeling and stabilization.” IEEE Trans. Intell. Transp. Syst. 20 (6): 2060–2071. https://doi.org/10.1109/TITS.2018.2857465.
Yang, H., and K. Oguchi. 2020. “Intelligent vehicle control at signal-free intersection under mixed connected environment.” IET Intel. Transport Syst. 14 (2): 82–90. https://doi.org/10.1049/iet-its.2019.0175.
Yao, S. G., and B. Friedrich. 2019. “Managing connected and automated vehicles in mixed traffic by human-leading platooning strategy: A simulation study.” In Proc., IEEE Intelligent Transportation Systems Conf., 27–30. New York: IEEE.
Zegers, J. C., E. Semsar-Kazerooni, J. Ploeg, N. V. D. Wouw, and H. Nijmeijer. 2017. “Consensus control for vehicular platooning with velocity constraints.” IEEE Trans. Control Syst. Technol. 26 (5): 1592–1605. https://doi.org/10.1109/TCST.2017.2720141.
Zhang, X., Y. Fang, B. Li, and J. Wang. 2016. “Visual servoing of nonholonomic mobile robots with uncalibrated camera-to-robot parameters.” IEEE Trans. Ind. Electron. 64 (1): 390–400. https://doi.org/10.1109/TIE.2016.2598526.
Zhao, W., D. Ngoduy, S. Shepherd, R. Liu, and M. Papageorgiou. 2018. “A platoon based cooperative eco-driving model for mixed automated and human-driven vehicles at a signalised intersection.” Transp. Res. Part C Emerging Technol. 95 (Jun): 802–821. https://doi.org/10.1016/j.trc.2018.05.025.
Zheng, N., Z. Liu, P. Ren, Y. Ma, S. Chen, S. Yu, J. Xue, B. Chen, and F. Wang. 2017. “Hybrid-augmented intelligence: Collaboration and cognition.” Front. Inf. Technol. Electron. Eng. 18 (2): 153–179. https://doi.org/10.1631/FITEE.1700053.
Zheng, Y., J. Wang, and K. Li. 2020. “Smoothing traffic flow via control of autonomous vehicles.” IEEE Internet Things J. 7 (5): 3882–3896. https://doi.org/10.1109/JIOT.2020.2966506.
Zhou, J., D. Tian, Z. Sheng, X. Duan, G. Qu, D. Zhao, D. Cao, and X. Shen. 2022. “Robust min-max model predictive vehicle platooning with causal disturbance feedback.” IEEE Intell. Transp. Syst. 23 (9): 15878–15897. https://doi.org/10.1109/TITS.2022.3146149.
Zhou, Y., S. Ahn, M. Wang, and S. Hoogendoorn. 2020. “Stabilizing mixed vehicular platoons with connected automated vehicles: An H-infinity approach.” Transp. Res. Part B Methodol. 132 (Feb): 152–170. https://doi.org/10.1016/j.trb.2019.06.005.
Zhu, W., and H. Zhang. 2018. “Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model.” Physica A 496 (Apr): 274–285. https://doi.org/10.1016/j.physa.2017.12.103.
Zhu, Y., D. Zhao, and Z. Zhong. 2019. “Adaptive optimal control of heterogeneous CACC system with uncertain dynamics.” IEEE Trans. Control Syst. Technol. 27 (4): 1772–1779. https://doi.org/10.1109/TCST.2018.2811376.
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Published In
Journal of Transportation Engineering, Part A: Systems
Volume 149 • Issue 5 • May 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jun 12, 2022
Accepted: Dec 12, 2022
Published online: Mar 10, 2023
Published in print: May 1, 2023
Discussion open until: Aug 10, 2023
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