Distributed adaptive robust platoon control of intelligent electric vehicles with communication delays
WANG Jingyao1,2, ZHENG Huaqing1, GUO Jinghua1,2, LUO Yugong2
1. School of Aerospace Engineering, Xiamen University, Xiamen 361005, China; 2. State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China
Abstract:Groups of intelligent electric vehicles are more difficult to control when experiencing communication delays. This paper presents a distributed adaptive robust control method for vehicle platoons. The platoon control model includes nonlinear terms, parameter uncertainties, communication delays and other factors. The influence of the nonlinear terms on the control system is eliminated by using an inverse model. Then, a distributed state feedback control structure is designed with a closed-loop model with communication delays, external disturbances and parameter uncertainties. The communication topology is then decoupled using property value decomposition. The existence condition of the adaptive controller is derived using the linear matrix inequality processing method. The matrix inequality is low dimensional and independent of the platoon length. The control system is shown to be stable with communication delays using Lyapunov stability theory. Simulations demonstrate the feasibility and effectiveness of this distributed adaptive robust control method when influenced by communication delays.
王靖瑶, 郑华青, 郭景华, 罗禹贡. 通信延迟下智能电动汽车队列分布式自适应鲁棒控制[J]. 清华大学学报(自然科学版), 2021, 61(9): 889-897.
WANG Jingyao, ZHENG Huaqing, GUO Jinghua, LUO Yugong. Distributed adaptive robust platoon control of intelligent electric vehicles with communication delays. Journal of Tsinghua University(Science and Technology), 2021, 61(9): 889-897.
[1] 郭景华, 李克强, 罗禹贡. 智能车辆运动控制研究综述[J]. 汽车安全与节能学报, 2016, 7(2): 151-159. GUO J H, LI K Q, LUO Y G. Review on the research of motion control for intelligent vehicles[J]. Journal of Automotive Safety and Energy, 2016, 7(2): 151-159. (in Chinese) [2] HEDRICK J K, TOMIZUKA M, VARAIYA P. Control issues in automated highway systems[J]. IEEE Control Systems Magazine, 1994, 14(6): 21-32. [3] 辛喆, 张小雪, 陈海亮, 等. 节能型异质汽车队列的切换式有界稳定控制[J]. 清华大学学报(自然科学版), 2019, 59(3): 228-235. XIN Z, ZHANG X X, CHEN H L, et al. Bounded stabilizing control for fuel economy oriented heterogeneous vehicle platoon[J]. Journal of Tsinghua University (Science and Technology), 2019, 59(3): 228-235. (in Chinese) [4] CAVENEY D. Cooperative vehicular safety applications: Collision avoidance enabled through geospatial positioning and intervehicular communications[J]. IEEE Control Systems Magazine, 2010, 30(4): 38-53. [5]ÖNCUÜ S O, PLOEG J, VAN DE WOUW N, et al. Cooperative adaptive cruise control: Network-aware analysis of string stability[J]. IEEE Transactions on Intelligent Transportation Systems, 2014, 15(4): 1527-1537. [6] 郭景华, 罗禹贡, 李克强. 智能车辆运动控制系统协同设计[J]. 清华大学学报(自然科学版), 2015, 55(7): 761-768. GUO J H, LUO Y G, LI K Q. Collaborative design of a motion control system for intelligent vehicles[J]. Journal of Tsinghua University (Science and Technology), 2015, 55(7): 761-768. (in Chinese) [7] SHLADOVER S E, DESOER C A, HEDRICK J K, et al. Automated vehicle control developments in the PATH program[J]. IEEE Transactions on Vehicular Technology, 1991, 40(1): 114-130. [8] LI S E, ZHENG Y, LI K Q, et al. An overview of vehicular platoon control under the four-component framework[C]//Proceedings of 2015 IEEE Intelligent Vehicles Symposium. Seoul, Republic of Korea, 2015: 286-291. [9] DESJARDINS C, CHAIB-DRAA B. Cooperative adaptive cruise control: A reinforcement learning approach[J]. IEEE Transactions on Intelligent Transportation Systems, 2011, 12(4): 1248-1260. [10] DUNBAR W B, CAVENEY D S. Distributed receding horizon control of vehicle platoons: Stability and string stability[J]. IEEE Transactions on Automatic Control, 2012, 57(3): 620-633. [11] ZHENG Y, LI S E, LI K Q, et al. Distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies[J]. IEEE Transactions on Control Systems Technology, 2017, 25(3): 899-910. [12] PLOEG J, SHUKLA D P, VAN DE WOUW N, et al. Controller synthesis for string stability of vehicle platoons[J]. IEEE Transactions on Intelligent Transportation Systems, 2014, 15(2): 854-865. [13] LIU X H, GOLDSMITH A, MAHAL S S, et al. Effects of communication delay on string stability in vehicle platoons[C]//Proceedings of 2001 IEEE Intelligent Transportation Systems Conference. Oakland, USA, 2001: 625-630. [14] DI BERNARDO M, SALVI A, SANTINI S. Distributed consensus strategy for platooning of vehicles in the presence of time-varying heterogeneous communication delays[J]. IEEE Transactions on Intelligent Transportation Systems, 2015, 16(1): 102-112. [15] CAO J H. A guaranteed cost control for autonomous vehicle platoon with communication constraints[C]//Proceedings of 2010 IEEE Youth Conference on Information, Computing and Telecommunications. Beijing, China, 2010: 166-169. [16] GAO F, LI S E, ZHENG Y, et al. Robust control of heterogeneous vehicular platoon with uncertain dynamics and communication delay[J]. IET Intelligent Transport Systems, 2016, 10(7): 503-513. [17] LI S B, LI K Q, RAJAMANI R, et al. Model predictive multi-objective vehicular adaptive cruise control[J]. IEEE Transactions on Control Systems Technology, 2011, 19(3): 556-566. [18] ZHENG Y, LI S E, WANG J Q, et al. Stability and scalability of homogeneous vehicular platoon: Study on the influence of information flow topologies[J]. IEEE Transactions on Intelligent Transportation Systems, 2016, 17(1): 14-26. [19] REN W, BEARD R W. Distributed consensus in multi-vehicle cooperative control[M]. London, UK: Springer, 2008. [20] SWAROOP D, HEDRICK J K. String stability of interconnected systems[J]. IEEE Transactions on Automatic Control, 1996, 41(3): 349-357. [21] GUO G, YUE W. Hierarchical platoon control with heterogeneous information feedback[J]. IET Control Theory & Applications, 2011, 5(15): 1766-1781. [22] DU H P, ZHANG N, NAGHDY F. Velocity-dependent robust control for improving vehicle lateral dynamics[J]. Transportation Research Part C: Emerging Technologies, 2011, 19(3): 454-468. [23] 俞正光, 鲁自群, 林润亮. 线性代数与几何[M]. 2版. 北京: 清华大学出版社, 2015. YU Z G, LU Z Q, LIN R L. Linear algebra and geometry[M]. 2nd ed. Beijing: Tsinghua University Press, 2012. (in Chinese) [24] ZHANG W B, TANG Y, HUANG T W, et al. Sampled-data consensus of linear multi-agent systems with packet losses[J]. IEEE Transactions on Neural Networks and Learning Systems, 2017, 28(11): 2516-2527. [25] MORBIDI F, COLANERI P, STANGER T. Decentralized optimal control of a car platoon with guaranteed string stability[C]//Proceedings of 2013 European Control Conference (ECC). Zurich, Switzerland, 2017: 3494-3499.