Sequencing-enabled Hierarchical Cooperative CAV On-ramp Merging Control with Enhanced Stability and Feasibility (2311.14924v2)
Abstract: This paper develops a sequencing-enabled hierarchical connected automated vehicle (CAV) cooperative on-ramp merging control framework. The proposed framework consists of a two-layer design: the upper level control sequences the vehicles to harmonize the traffic density across mainline and on-ramp segments while enhancing lower-level control efficiency through a mixed-integer linear programming formulation. Subsequently, the lower-level control employs a longitudinal distributed model predictive control (MPC) supplemented by a virtual car-following (CF) concept to ensure asymptotic local stability, l_2 norm string stability, and safety. Proofs of asymptotic local stability and l_2 norm string stability are mathematically derived. Compared to other prevalent asymptotic local-stable MPC controllers, the proposed distributed MPC controller greatly expands the initial feasible set. Additionally, an auxiliary lateral control is developed to maintain lane-keeping and merging smoothness while accommodating ramp geometric curvature. To validate the proposed framework, multiple numerical experiments are conducted. Results indicate a notable outperformance of our upper-level controller against a distance-based sequencing method. Furthermore, the lower-level control effectively ensures smooth acceleration, safe merging with adequate spacing, adherence to proven longitudinal local and string stability, and rapid regulation of lateral deviations.
- S. Ahn and M. J. Cassidy, “Freeway traffic oscillations and vehicle lane-change maneuvers,” Transportation and Traffic Theory, vol. 1, pp. 691–710, 2007.
- S. Ahn, J. Laval, and M. J. Cassidy, “Effects of merging and diverging on freeway traffic oscillations: theory and observation,” Transportation research record, vol. 2188, no. 1, pp. 1–8, 2010.
- A. Srivastava and N. Geroliminis, “Empirical observations of capacity drop in freeway merges with ramp control and integration in a first-order model,” Transportation Research Part C: Emerging Technologies, vol. 30, pp. 161–177, 2013.
- X.-Y. Lu and S. E. Shladover, “Review of variable speed limits and advisories: Theory, algorithms, and practice,” Transportation research record, vol. 2423, no. 1, pp. 15–23, 2014.
- M. Papageorgiou and A. Kotsialos, “Freeway ramp metering: An overview,” IEEE transactions on intelligent transportation systems, vol. 3, no. 4, pp. 271–281, 2002.
- J. Guanetti, Y. Kim, and F. Borrelli, “Control of connected and automated vehicles: State of the art and future challenges,” Annual reviews in control, vol. 45, pp. 18–40, 2018.
- M. Wang, W. Daamen, S. P. Hoogendoorn, and B. van Arem, “Cooperative car-following control: Distributed algorithm and impact on moving jam features,” IEEE Transactions on Intelligent Transportation Systems, vol. 17, no. 5, pp. 1459–1471, 2015.
- Y. Zhou, S. Ahn, M. Chitturi, and D. A. Noyce, “Rolling horizon stochastic optimal control strategy for acc and cacc under uncertainty,” Transportation Research Part C: Emerging Technologies, vol. 83, pp. 61–76, 2017.
- P. Falcone, F. Borrelli, J. Asgari, H. E. Tseng, and D. Hrovat, “Predictive active steering control for autonomous vehicle systems,” IEEE Transactions on control systems technology, vol. 15, no. 3, pp. 566–580, 2007.
- Y. Zhou, S. Ahn, M. Wang, and S. Hoogendoorn, “Stabilizing mixed vehicular platoons with connected automated vehicles: An h-infinity approach,” Transportation Research Part B: Methodological, vol. 132, pp. 152–170, 2020.
- V. Milanés, J. Godoy, J. Villagrá, and J. Pérez, “Automated on-ramp merging system for congested traffic situations,” IEEE Transactions on Intelligent Transportation Systems, vol. 12, no. 2, pp. 500–508, 2010.
- T. Chen, M. Wang, S. Gong, Y. Zhou, and B. Ran, “Connected and automated vehicle distributed control for on-ramp merging scenario: A virtual rotation approach,” Transportation Research Part C: Emerging Technologies, vol. 133, p. 103451, 2021.
- W. Cao, M. Mukai, T. Kawabe, H. Nishira, and N. Fujiki, “Cooperative vehicle path generation during merging using model predictive control with real-time optimization,” Control Engineering Practice, vol. 34, pp. 98–105, 2015.
- Y. Zhou, M. Wang, and S. Ahn, “Distributed model predictive control approach for cooperative car-following with guaranteed local and string stability,” Transportation research part B: methodological, vol. 128, pp. 69–86, 2019.
- Y. Zheng, S. E. Li, K. Li, F. Borrelli, and J. K. Hedrick, “Distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies,” IEEE Transactions on Control Systems Technology, vol. 25, no. 3, pp. 899–910, 2016.
- K. Li, Y. Bian, S. E. Li, B. Xu, and J. Wang, “Distributed model predictive control of multi-vehicle systems with switching communication topologies,” Transportation Research Part C: Emerging Technologies, vol. 118, p. 102717, 2020.
- W. B. Dunbar and D. S. Caveney, “Distributed receding horizon control of vehicle platoons: Stability and string stability,” IEEE Transactions on Automatic Control, vol. 57, no. 3, pp. 620–633, 2011.
- J. Ding, L. Li, H. Peng, and Y. Zhang, “A rule-based cooperative merging strategy for connected and automated vehicles,” IEEE Transactions on Intelligent Transportation Systems, vol. 21, no. 8, pp. 3436–3446, 2019.
- Z. Hu, J. Huang, Z. Yang, and Z. Zhong, “Embedding robust constraint-following control in cooperative on-ramp merging,” IEEE Transactions on Vehicular Technology, vol. 70, no. 1, pp. 133–145, 2021.
- N. Chen, B. van Arem, T. Alkim, and M. Wang, “A hierarchical model-based optimization control approach for cooperative merging by connected automated vehicles,” IEEE Transactions on Intelligent Transportation Systems, vol. 22, no. 12, pp. 7712–7725, 2020.
- Y. Xie, H. Zhang, N. H. Gartner, and T. Arsava, “Collaborative merging strategy for freeway ramp operations in a connected and autonomous vehicles environment,” Journal of Intelligent Transportation Systems, vol. 21, no. 2, pp. 136–147, 2017.
- J. Rios-Torres and A. A. Malikopoulos, “Automated and cooperative vehicle merging at highway on-ramps,” IEEE Transactions on Intelligent Transportation Systems, vol. 18, no. 4, pp. 780–789, 2016.
- C. Mu, L. Du, and X. Zhao, “Event triggered rolling horizon based systematical trajectory planning for merging platoons at mainline-ramp intersection,” Transportation research part C: emerging technologies, vol. 125, p. 103006, 2021.
- R. Zhang, F. Rossi, and M. Pavone, “Model predictive control of autonomous mobility-on-demand systems,” in 2016 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2016, pp. 1382–1389.
- B. Xu, J. Shi, S. Li, H. Li, and Z. Wang, “Energy consumption and battery aging minimization using a q-learning strategy for a battery/ultracapacitor electric vehicle,” Energy, vol. 229, p. 120705, 2021.
- M. Wang, W. Daamen, S. P. Hoogendoorn, and B. van Arem, “Rolling horizon control framework for driver assistance systems. part i: Mathematical formulation and non-cooperative systems,” Transportation research part C: emerging technologies, vol. 40, pp. 271–289, 2014.
- R. Amrit, J. B. Rawlings, and D. Angeli, “Economic optimization using model predictive control with a terminal cost,” Annual Reviews in Control, vol. 35, no. 2, pp. 178–186, 2011.
- A. Ferramosca, J. B. Rawlings, D. Limón, and E. F. Camacho, “Economic mpc for a changing economic criterion,” in 49th IEEE Conference on Decision and Control (CDC). IEEE, 2010, pp. 6131–6136.
- J. B. Rawlings, D. Angeli, and C. N. Bates, “Fundamentals of economic model predictive control,” in 2012 IEEE 51st IEEE conference on decision and control (CDC). IEEE, 2012, pp. 3851–3861.
- L. Fagiano and A. R. Teel, “Generalized terminal state constraint for model predictive control,” Automatica, vol. 49, no. 9, pp. 2622–2631, 2013.
- G. J. Naus, R. P. Vugts, J. Ploeg, M. J. van De Molengraft, and M. Steinbuch, “String-stable cacc design and experimental validation: A frequency-domain approach,” IEEE Transactions on vehicular technology, vol. 59, no. 9, pp. 4268–4279, 2010.
- D. L. Kleinman and P. K. Rao, “Continuous-discrete gain transformation methods for linear feedback control,” Automatica, vol. 13, no. 4, pp. 425–428, 1977.
- S. M. Melzer and B. C. Kuo, “Sampling period sensitivity of the optimal sampled data linear regulator,” Automatica, vol. 7, no. 3, pp. 367–370, 1971.
- P. MacAulay-Owen, “Parseval’s Theorem for Hankel Transforms,” Proceedings of the London Mathematical Society, vol. s2-45, no. 1, pp. 458–474, 01 1939.
- D. Halperin, “Robust geometric computing in motion,” The International Journal of Robotics Research, vol. 21, no. 3, pp. 219–232, 2002.
- J. Colyar and J. Halkias, “U.S. highway 101 dataset,” 2007.
- Sixu Li (27 papers)
- Yang Zhou (311 papers)
- Xinyue Ye (24 papers)
- Jiwan Jiang (4 papers)
- Meng Wang (1063 papers)