Reducing time headway for platooning of connected vehicles via V2V communication

Abstract In a platoon of connected vehicles, time headway plays an important role in both traffic capacity and road safety. It is desirable to maintain a lower time headway while satisfying string stability in a platoon, since this leads to a higher traffic capacity and guarantees the disturbance attenuation ability. In this paper, we study a multiple-predecessor following strategy to reduce time headway via vehicle-to-vehicle (V2V) communication. We first introduce a new definition of desired inter-vehicle distances based on the constant time headway (CTH) policy, which is suitable for general communication topologies. By exploiting lower-triangular structures in a time headway matrix and an information topology matrix, we derive a set of necessary and sufficient conditions on feedback gains for internal asymptotic stability. Further, by analyzing the stable region of feedback gains, a necessary and sufficient condition on time headway is also obtained for the string stability specification. It is proved that a platoon can be asymptotically stable and string stable when the time headway is lower bounded. Moreover, this bound can be reduced by increasing the number of predecessors. These results explicitly highlight the benefits of V2V communication on reducing time headway for platooning of connected vehicles.

[1]  Keqiang Li,et al.  Distributed conflict-free cooperation for multiple connected vehicles at unsignalized intersections , 2018, Transportation Research Part C: Emerging Technologies.

[2]  Simone Baldi,et al.  Adaptive synchronization of unknown heterogeneous agents: An adaptive virtual model reference approach , 2018, J. Frankl. Inst..

[3]  Karl Henrik Johansson,et al.  String Stability and a Delay-Based Spacing Policy for Vehicle Platoons Subject to Disturbances , 2017, IEEE Transactions on Automatic Control.

[4]  Yang Zheng,et al.  Cooperative Control of Heterogeneous Connected Vehicles with Directed Acyclic Interactions , 2018, IEEE Intelligent Transportation Systems Magazine.

[5]  Swaroop Darbha,et al.  Effects of V2V communication on time headway for autonomous vehicles , 2017, 2017 American Control Conference (ACC).

[6]  Gábor Orosz,et al.  Dynamics of connected vehicle systems with delayed acceleration feedback , 2014 .

[7]  Shahram Azadi,et al.  Stable Decentralized Control of a Platoon of Vehicles With Heterogeneous Information Feedback , 2013, IEEE Transactions on Vehicular Technology.

[8]  Swaroop Darbha,et al.  Vehicle Platooning with Multiple Vehicle Look-ahead Information , 2017 .

[9]  Swaroop Darbha,et al.  Benefits of V2V Communication for Autonomous and Connected Vehicles , 2018, IEEE Transactions on Intelligent Transportation Systems.

[10]  Alireza Talebpour,et al.  Influence of connected and autonomous vehicles on traffic flow stability and throughput , 2016 .

[11]  Yang Zheng,et al.  Dynamical Modeling and Distributed Control of Connected and Automated Vehicles: Challenges and Opportunities , 2017, IEEE Intelligent Transportation Systems Magazine.

[12]  Jianliang Wang,et al.  Distributed Adaptive Integrated-Sliding-Mode Controller Synthesis for String Stability of Vehicle Platoons , 2016, IEEE Transactions on Intelligent Transportation Systems.

[13]  D. J. H. Garling,et al.  The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities by J. Michael Steele , 2005, Am. Math. Mon..

[14]  S. Darbha,et al.  Information flow and its relation to stability of the motion of vehicles in a rigid formation , 2005, IEEE Transactions on Automatic Control.

[15]  Jianqiang Wang,et al.  Reducing Time Headway for Platoons of Connected Vehicles via Multiple-Predecessor Following , 2018, 2018 21st International Conference on Intelligent Transportation Systems (ITSC).

[16]  Jianqiang Wang,et al.  Stability and Scalability of Homogeneous Vehicular Platoon: Study on the Influence of Information Flow Topologies , 2016, IEEE Transactions on Intelligent Transportation Systems.

[17]  Nathan van de Wouw,et al.  Lp String Stability of Cascaded Systems: Application to Vehicle Platooning , 2014, IEEE Transactions on Control Systems Technology.

[18]  Jing Zhou,et al.  Range policy of adaptive cruise control vehicles for improved flow stability and string stability , 2005, IEEE Transactions on Intelligent Transportation Systems.

[19]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[20]  Mario di Bernardo,et al.  Distributed Consensus Strategy for Platooning of Vehicles in the Presence of Time-Varying Heterogeneous Communication Delays , 2015, IEEE Transactions on Intelligent Transportation Systems.

[21]  Steven E. Shladover,et al.  PATH at 20—History and Major Milestones , 2007, IEEE Transactions on Intelligent Transportation Systems.

[22]  Meng Wang,et al.  Infrastructure assisted adaptive driving to stabilise heterogeneous vehicle strings , 2018, Transportation Research Part C: Emerging Technologies.

[23]  Jennie Lioris,et al.  Platoons of connected vehicles can double throughput in urban roads , 2015, 1511.00775.

[24]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues , 2010 .

[25]  Simone Baldi,et al.  An Adaptive Switched Control Approach to Heterogeneous Platooning With Intervehicle Communication Losses , 2018, IEEE Transactions on Control of Network Systems.

[26]  Nick McKeown,et al.  Automated vehicle control developments in the PATH program , 1991 .

[27]  Dongkyoung Chwa,et al.  Adaptive Bidirectional Platoon Control Using a Coupled Sliding Mode Control Method , 2014, IEEE Transactions on Intelligent Transportation Systems.

[28]  Gábor Orosz,et al.  Connected cruise control among human-driven vehicles: Experiment-based parameter estimation and optimal control design , 2018, Transportation Research Part C: Emerging Technologies.

[29]  Vicente Milanés Montero,et al.  Cooperative Adaptive Cruise Control in Real Traffic Situations , 2014, IEEE Transactions on Intelligent Transportation Systems.

[30]  María M. Seron,et al.  From vehicular platoons to general networked systems: String stability and related concepts , 2017, Annu. Rev. Control..

[31]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[32]  Mohammad R. Homaeinezhad,et al.  Third-order safe consensus of heterogeneous vehicular platoons with MPF network topology: Constant time headway strategy , 2018 .

[33]  Gábor Rödönyi,et al.  An Adaptive Spacing Policy Guaranteeing String Stability in Multi-Brand Ad Hoc Platoons , 2018, IEEE Transactions on Intelligent Transportation Systems.

[34]  Antonio Saverio Valente,et al.  Adaptive multi-agents synchronization for collaborative driving of autonomous vehicles with multiple communication delays , 2018 .

[35]  Gábor Orosz,et al.  Motif-Based Design for Connected Vehicle Systems in Presence of Heterogeneous Connectivity Structures and Time Delays , 2016, IEEE Transactions on Intelligent Transportation Systems.

[36]  G. Arfken Mathematical Methods for Physicists , 1967 .

[37]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[38]  William B. Dunbar,et al.  Distributed Receding Horizon Control of Vehicle Platoons: Stability and String Stability , 2012, IEEE Transactions on Automatic Control.

[39]  Maarten Steinbuch,et al.  String-Stable CACC Design and Experimental Validation: A Frequency-Domain Approach , 2010, IEEE Transactions on Vehicular Technology.

[40]  M.E. Khatir,et al.  Decentralized control of a large platoon of vehicles using non-identical controllers , 2004, Proceedings of the 2004 American Control Conference.

[41]  Nathan van de Wouw,et al.  Controller Synthesis for String Stability of Vehicle Platoons , 2014, IEEE Transactions on Intelligent Transportation Systems.

[42]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[43]  D. Swaroop,et al.  A review of constant time headway policy for automatic vehicle following , 2001, ITSC 2001. 2001 IEEE Intelligent Transportation Systems. Proceedings (Cat. No.01TH8585).

[44]  Klaus Werner Schmidt,et al.  Feedforward Strategies for Cooperative Adaptive Cruise Control in Heterogeneous Vehicle Strings , 2018, IEEE Transactions on Intelligent Transportation Systems.

[45]  Yongcan Cao,et al.  Distributed Coordinated Tracking With Reduced Interaction via a Variable Structure Approach , 2012, IEEE Transactions on Automatic Control.

[46]  P. Barooah,et al.  Error Amplification and Disturbance Propagation in Vehicle Strings with Decentralized Linear Control , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[47]  Peter Seiler,et al.  Disturbance propagation in vehicle strings , 2004, IEEE Transactions on Automatic Control.

[48]  Yang Zheng,et al.  Platooning of Connected Vehicles With Undirected Topologies: Robustness Analysis and Distributed H-infinity Controller Synthesis , 2016, IEEE Transactions on Intelligent Transportation Systems.

[49]  J. K. Hedrick,et al.  Constant Spacing Strategies for Platooning in Automated Highway Systems , 1999 .

[50]  Jianqiang Wang,et al.  An overview of vehicular platoon control under the four-component framework , 2015, 2015 IEEE Intelligent Vehicles Symposium (IV).

[51]  Hossein Chehardoli,et al.  Adaptive Centralized/Decentralized Control and Identification of 1-D Heterogeneous Vehicular Platoons Based on Constant Time Headway Policy , 2018, IEEE Transactions on Intelligent Transportation Systems.

[52]  Feng Gao,et al.  Practical String Stability of Platoon of Adaptive Cruise Control Vehicles , 2011, IEEE Transactions on Intelligent Transportation Systems.

[53]  Hao-Chi Chang,et al.  Sliding mode control on electro-mechanical systems , 1999 .

[54]  Jianqiang Wang,et al.  Distributed Platoon Control Under Topologies With Complex Eigenvalues: Stability Analysis and Controller Synthesis , 2019, IEEE Transactions on Control Systems Technology.

[55]  David González,et al.  Low-speed cooperative car-following fuzzy controller for cybernetic transport systems , 2014, 17th International IEEE Conference on Intelligent Transportation Systems (ITSC).

[56]  Vicente Milanes,et al.  Fractional-order-based ACC/CACC algorithm for improving string stability , 2018, Transportation Research Part C: Emerging Technologies.