[电动汽车稳定性控制]异质队列的分布式鲁棒解耦控制

摘要/Abstract

摘要：

基于分布式控制结构和基于图论的通信拓扑描述方法，针对车辆节点动力学的不确定性设计了一种异质队列的鲁棒解耦控制策略。采用乘性不确定模型覆盖由下位控制器和车辆动态特性构成的队列节点的动态特性，在此基础上通过通信拓扑的特征值分解和线性变换将异质队列控制系统分解成[H∞]范数有界的不确定部分和一个对角系统，从而实现队列系统的解耦。进一步对该控制系统的鲁棒稳定性、跟踪性能和队列稳定性进行理论分析。通过与非鲁棒控制器，以及不同通信拓扑下的系统性能进行台架实验对比分析，对所提方法的鲁棒稳定性、跟踪性能和队列稳定性进行了验证。

关键词: 队列, 鲁棒控制, 动力学解耦, 队列稳定性

Abstract: Based on the distributed control structure and interaction topology modeled by graph theory， a decoupled robust control strategy was presented for a heterogeneous vehicular platoon to deal with the uncertainties of node dynamics. The dynamical behavior of node composed of vehicle dynamics and a lower-level controller was assumed to be covered by a multiplicative uncertainty model. Then to decouple the platoon system， which was skillfully decomposed into a H∞ norm bounded uncertain part and a diagonal system by applying linear transformation and eigenvalue decomposition on communication topology. The requirements of robust stability， tracking ability and vehicular platoon stability were analyzed theoretically. Comparative bench tests with a non-robust controller and different communication topologies were conducted to demonstrate its robust stability， tracking ability and vehicular platoon.

Key words: vehicular platoon, robust control, dynamics decoupling, vehicular platoon stability

中图分类号:

U471

高锋, 王晓彤. [电动汽车稳定性控制]异质队列的分布式鲁棒解耦控制[J]. 中国机械工程.

GAO Feng, WANG Xiaotong. Distributed Decoupled Robust Control of Heterogeneous Vehicular Platoon[J]. China Mechanical Engineering.

参考文献

[1]张生，车丽彬，黄俊. 对中国大城市交通拥堵问题的认识[J］. 科技展望， 2016（25）： 309-310.

ZHANG Sheng， CHE Libin， HUANG Jun. Understanding of Traffic Congestion in China--s Big Cities [J］. Science and Technology， 2016（25）： 309-310.
[2]LUETTEL T，HIMMELSBACH M，WUENSCHE J.Autonomous Ground Vehicles-concepts and a Path to the Future [J］. Proceedings of the IEEE， 2012，100： 1831-1839.
[3]傅立敏，贺宝琴，吴允柱，等.队列行驶车辆间距对气动特性的影响[J］.汽车工程， 2007， 29（5）：365-368.

FU Limin， HE Baoqin， WU Yunzhu， et al. The Influence of Inter-vehicle Distance on Aerodynamic Characteristics of Vehicle Platoon[J］. Automotive Engineering， 2007， 29（5）： 365-368.
[4]SHLADOVER S， DESOER C， HEDRICK J， et al. Automated Vehicle Control Developments in the PATH Program [J］. IEEE Transaction on Vehicular Technology， 1991， 40（1）： 114 -130.
[5]SWAROOP D， HEDRICK J K， CHIEN C C， et al. A Comparison of Spacing and Headway Control Laws for Automatically Controlled Vehicles [J］. Vehicle System Dynamics， 1994， 23（8）： 597 -625.
[6]ZHOU J， PENG H. Range Policy of Adaptive Cruise Control Vehicle for Improved Flow Stability and String Stability[J］. IEEE Transaction on Intelligent Transportation System，2005，6（2）：229-237.
[7]SWAROOP D， HEDRICK J K. Constant Spacing Strategies for Platooning in Automated Highway Systems [J］. ASME Journal of Dynamic System Measure and Control， 1999， 121（3）： 462 -470.
[8]FAX A， MURRAY R M. Information Flow and Cooperative Control of Vehicle Formations [J］. IEEE Transaction on Automatic Control， 2004， 49（9）： 1465 -1476.
[9]YADLAPALLI S K， DARBHA S， RAJAGOPAL K R. Information Flow and Its Relation to Stability of the Motion of Vehicles in a Rigid Formation [J］. IEEE Transaction on Automatic Control， 2006， 51（8）： 1315 -1319.
[10]ZHENG Y， LI S， WANG J， et al. Influence of Information Flow Topology on Closed-loop Stability of Vehicle Platoon with Rigid Formation [C］//17th International Conference on Intelligent Transportation System Conference. New York， 2014： 2094-2100.
[11]XIAO L Y， GAO F. Practical String Stability of Platoon of Adaptive Cruise Control Vehicles [J］. IEEE Transaction on Intelligent Transportation System， 2011， 12（4）： 1184 -1194.
[12]TEO R， STIPANOVIC D M， TOMLIN C J. Decentralized Spacing Control of a String of Multiple Vehicles over Lossy Datalinks [J］. IEEE Transaction on Control System Technology， 2010， 18（2）： 469 -473
[13]DUNBAR W， CAVENEY D. Distributed Receding Horizon Control of Vehicle Platoons： Stability and String Stability [J］. IEEE Transaction on Automatic Control， 2012， 57（3）： 620-633.
[14]KIANFAR R， AUGUSTO B， EBADIGHAJARI A， et al. Design and Experimental Validation of a Cooperative Driving System in the Grand Cooperative Driving Challenge [J］. IEEE Transactions on Intelligent Transportation Systems， 2012， 13（3）： 994-1007.
[15]CHAN E， GILHEAD P， JELINEK P， et al. Cooperative Control of SARTRE Automated Platoon Vehicles[C］//19th ITS World Congress. Kuala Lumpur， 2012： 1-9.
[16]GUO G， YUE W. Autonomous Platoon Control Allowing Range-limited Sensors [J］. IEEE Transactions on Vehicular Technology， 2012， 61（7）： 2901-2912.
[17]STANKOVIC S， STANOJEVIC M， SILJAK D. Decentralized Overlapping Control of a Platoon of Vehicles [J］. IEEE Transaction on Control System Technology， 2000， 8（5）： 816 -831.
[18]HERMAN I， MARTINEC D， HURAK Z， et al. Nonzero Bound on Fiedler Eigenvalue Causes Exponential Growth of H-infinity Norm of Vehicular Platoon [J］. IEEE Transactions on Automatic Control， 2014， 60（8）： 1-6.
[19]NAUS G， VUGTS R， PLOEG J， et al. String-stable CACC Design and Experimental Validation： a Frequency Domain Approach [J］. IEEE Transactions on Vehicular Technology， 2010， 59（9）： 4268-4279.
[20]SHAW E， HEDRICK J. String Stability Analysis for Heterogeneous Vehicle Strings[C］//American Control Conference. New York， 2007：3118 -3125.
[21]XIAO L， GAO F. Practical String Stability of Platoon of Adaptive Cruise Control Vehicles [J］. IEEE Transactions on Intelligent Transportation Systems， 2011， 12（4）： 1184-1194.
[22]高锋，李家文，李克强，等.汽车纵向加/减速度多模型分层切换控制[J］.汽车工程，2007，29（9）：804-808.

GAO Feng. LI Jiawen， LI Keqiang， et al. Multi-model Hierarchical Switching Control of Vehicle Longitudinal Acceleration/Deceleration [J］. Automotive Engineering， 2007， 29（9）：804-808.
[23]LI Q， CHEN W， LIU S， et al. μ Synthesis Control of Proton Exchange Membrane Fuel Cell Generation System Based on D-K Interaction Method[C］//Asia-Pacific Power and Energy Engineering Conference. Chengdu， 2010： 1-4.
[24]高锋，刘葆，李克强. 通信拓扑不确定条件下车队列分布式H∞控制 [J］. 汽车安全与节能学报， 2017， 8（4）：352-358.

GAO Feng， LIU Bao， LI Keqiang. Distributed H∞ Control of Automated Vehicular Platoons with Uncertain Interaction Topologies [J］. Journal of Automotive Safety and Energy， 2017， 8（4）：352-358.