nav emailalert searchbtn searchbox tablepage yinyongbenwen piczone journalimg journalInfo journalinfonormal searchdiv searchzone qikanlogo popupnotification paper paperNew
2025, 06, v.51 91-99
基于BP神经网络行驶稳定性判定的模型预测控制系统
基金项目(Foundation):
邮箱(Email): stl167666@mychery.com;
DOI: 10.19886/j.cnki.dhdz.2024.0282
摘要:

针对车辆行驶稳定性实时且精确控制的挑战,结合李雅普诺夫指数与BP神经网络对车辆稳定性进行判定,再以其判定结果辅以模型预测控制算法进行行驶稳定性控制。此方案旨在迅速评估车辆行驶状态,确保行驶过程中的稳定性。所构建的车辆行驶稳定性判定模型,运用李雅普诺夫指数法,在不同行驶工况下离线计算出稳定性指标。这些指标被用作训练数据,以优化BP神经网络模型。经过试验验证,该神经网络模型展现出了较高的预测精度。基于上述稳定性判定模型,设计模型预测控制器。该控制器以稳定性判定模型输出作为介入前提,能紧密跟踪期望的横摆角速度与质心侧偏角,从而实现后轮转角的精确调控。为验证所设计的控制策略的有效性,采用Simulink与CarSim软件的联合仿真方法。仿真结果表明,所提出的控制系统能够依据车辆稳定性状况进行及时且准确的控制介入,显著提升了车辆行驶的稳定性。

Abstract:

Addressing the challenge of real-time and precise control of vehicle driving stability, this paper presents an innovative solution: a vehicle stability determination method that integrates Lyapunov exponents with BP neural networks, followed by model predictive control(MPC) for stability maintenance during driving. The aim of this approach is to rapidly assess the vehicle's driving state and ensure stability throughout the journey. The constructed vehicle driving stability determination model first employs the Lyapunov exponent method to calculate stability indices offline under various driving conditions. These indices are then used as training data to optimize the BP neural network model, which demonstrates high prediction accuracy after testing and validation. Based on this stability determination model, we further designed an MPC controller capable of closely tracking the desired yaw rate and sideslip angle, enabling precise regulation of the rear wheel steering angle. To verify the effectiveness of the designed control strategy, we adopted a co-simulation method using Simulink and CarSim software. The simulation results indicate that the proposed control system can intervene timely and accurately based on the vehicle's stability status, significantly enhancing the driving stability.

参考文献

[1] KONG J,PFEIFFER M,SCHILDBACH G,et al.Kinematic and dynamic vehicle models for autonomous driving control design [C]//2015 IEEE Intelligent Vehicles Symposium (IV).Seoul,Korea (South).IEEE,2015:1094-1099.

[2] LIU W,XIONG L,LENG B,et al.Vehicle stability criterion research based on phase plane method [J].SAE Technical Paper Series,2017,1:2017-1-1560.

[3] SADRI S,WU C.Stability analysis of a nonlinear vehicle model in plane motion using the concept of Lyapunov exponents [J].Vehicle System Dynamics,2013,51(6):906-924.

[4] SAMSUNDAR J,HUSTON J C.Estimating lateral stability region of a nonlinear 2 degree-of-freedom vehicle [J].SAE Transactions,1998,107(6):1791-1797.

[5] INAGAKI S,KSHIRO I,YAMAMOTO M.Analysis on vehicle stability in critical cornering using phase-plane method [J].JSAE Review,1995,16(2):216.

[6] 赵治国,陈晓蓉,梁凯冲,等.考虑乘坐舒适性的纯电动公交车辆稳定性控制[J].机械工程学报,2023,59(10):250-262.ZHAO Z G,CHEN X R,LIANG K C,et al.Stability control method for the electric city bus considering riding comfort [J].Journal of Mechanical Engineering,2023,59(10):250-262.

[7] BOBIER C G,GERDES J C.Staying within the nullcline boundary for vehicle envelope control using a sliding surface [J].Vehicle System Dynamics,2013,51(2):199-217.

[8] HUANG Y W,CHEN Y.Vehicle lateral stability control based on shiftable stability regions and dynamic margins [J].IEEE Transactions on Vehicular Technology,2020,69(12):14727-14738.

[9] HUANG Y W,LIANG W,CHEN Y.Stability regions of vehicle lateral dynamics:estimation and analysis [J].Journal of Dynamic Systems,Measurement,and Control,2021,143(5):051002.

[10] ROSSA F D,GOBBI M,MASTINU G,et al.Bifurcation analysis of a car and driver model [J].Vehicle System Dynamics,2014,52(sup1):142-156.

[11] JOHNSON D B,HUSTON J C.Nonlinear lateral stability analysis of road vehicles using Liapunov’s second method [J].SAE Transactions,1984,93(4):798-805.

[12] 提艳.分布式电驱动车辆四轮转向与转矩分配控制策略研究[D].南京:南京航空航天大学,2022.TI Y.Research on four-wheel steering and torque distribution control strategy of distributed drive electric vehicle[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2022.

[13] 王永强.基于主动前轮转向的横向稳定性分析[J].汽车实用技术,2024,49(8):85-88.WANG Y Q.Lateral stability analysis based on active front wheel steering [J].Automobile Applied Technology.2024,49(8):85-88.

[14] ALAGAPPAN A V,NARASIMHA RAO K V,KUMAR R K.A comparison of various algorithms to extract Magic Formula tyre model coefficients for vehicle dynamics simulations [J].Vehicle System Dynamics,2015,53(2):154-178.

[15] BALCERZAK M,DABROWSKI A,BLAZEJCZYK-OKOLEWSKA B,et al.Determining Lyapunov exponents of non-smooth systems:perturbation vectors approach [J].Mechanical Systems and Signal Processing,2020,141:106734.

[16] 刘云平,李渝,陈城,等.基于李雅普诺夫指数的非完整约束系统稳定性[J].华中科技大学学报(自然科学版),2016,44(12):98-101.LIU Y P,LI Y,CHEN C,et al.Stability of nonholonomic constraint system based on Lyapunov exponents [J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2016,44(12):98-101.

[17] 白明慧.基于李雅普诺夫指数和耗散能的汽车操纵稳定裕度研究[D].长春:吉林大学,2020.BAI M H.Research on vehicle handling stability Margin based on Lyapunov exponent and dissipated energy [D].Changchun:Jilin University,2020.

[18] RAMASUBRAMANIAN K,SRIRAM M S.A comparative study of computation of Lyapunov spectra with different algorithms [J].Physica D:Nonlinear Phenomena,2000,139(1/2):72-86.

[19] WOLF A,SWIFT J B,SWINNEY H L,et al.Determining Lyapunov exponents from a time series [J].Physica D:Nonlinear Phenomena,1985,16(3):285-317.

[20] 齐贺闯,叶筱,高延峰,等.基于GA-BP神经网络和改进粒子群算法的碰撞射流和冷却顶板复合空调系统优化[J].东华大学学报(自然科学版),2024,50(1):110-117.QI H C,YE X,GAO Y F,et al.Optimization of impinging jet ventilation combined with chilled ceiling air-conditioning system based on GA-BP neural network coupled with improved particle swarm optimization [J].Journal of Donghua University (Natural Science),2024,50(1):110-117.

[21] 张姣姣.基于改进BP神经网络的吉林省生鲜农产品冷链物流需求预测[D].长春:吉林大学,2022.ZHANG J J.Forecast of cold chain logistics demand for fresh agricultural products in Jilin Province based on improved BP neural network [D].Changchun:Jilin University,2022.

[22] 刘伟.基于质心侧偏角相平面的车辆稳定性控制系统研究[D].长春:吉林大学,2013.LIU W.Vehicle stability control system research based on side-slip angle phase [D].Changchun:Jilin University,2013.

[23] 朱旭,贾港华,蔡欣.基于分布式模型预测控制的车辆队列拓展策略[J].东华大学学报(自然科学版),2023,49(4):91-98.ZHU X,JIA G H,CAI X.Vehicular platoon expansion strategy based on distributed model predictive control [J].Journal of Donghua University(Natural Science),2023,49(4):91-98.

基本信息:

DOI:10.19886/j.cnki.dhdz.2024.0282

中图分类号:TP183;U463.6

引用信息:

[1]陈酝申,宋廷伦,提艳,等.基于BP神经网络行驶稳定性判定的模型预测控制系统[J].东华大学学报(自然科学版),2025,51(06):91-99.DOI:10.19886/j.cnki.dhdz.2024.0282.

引用

GB/T 7714-2015 格式引文
MLA格式引文
APA格式引文
检 索 高级检索