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Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering最新文献

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Vehicle pitch dynamics control using in-wheel motors 使用轮内电机进行车辆俯仰动态控制
S. Kopylov, M. Ambrož, Ž. Petan, R. Kunc, Sifa Zheng, Zhichao Hou
Implementation of in-wheel motors brings numerous advantages: decreased overall vehicle weight and manufacture cost, available accurate torque control for better road handling and powertrain high energy efficiency. Even so, when the motor is placed inside the wheel, the unsprung mass of the vehicle increases, leading to a less comfortable ride. This paper puts forward and studies a control system that takes advantage of the vertical component of the driving force provided by an in-wheel motor to enhance ride comfort and handling dynamics. The proportional integral (PI) controller was proposed to minimize the pitch acceleration response of the vehicle. Controller’s gains were optimized using the gradient descent method with sequential quadratic programing algorithm. A co-simulation approach and a dynamic model of the vehicle were presented. Data regarding the vehicle’s measurements was taken from a real car with in-wheel motors. The dynamic model of the car was validated based on the results derived during the road test experiment. Assessing the controller’s effectiveness, a co-simulation approach between the dynamic model and the control system was established. An acceleration test in a straight line showed a 25% increase in ride comfort as measured by the RMS pitch angular vibrations of the sprung mass. The control is attained with no increase in the tire load and the vehicle’s longitudinal dynamics.
采用轮内电机有许多优点:减轻整车重量,降低制造成本;可进行精确的扭矩控制,实现更好的路面操控;动力系统能效高。尽管如此,当电机置于车轮内部时,车辆的簧下质量会增加,导致乘坐舒适性降低。本文提出并研究了一种控制系统,利用轮内电机提供的驱动力的垂直分量来提高驾乘舒适性和操控动态。本文提出了比例积分(PI)控制器,以最小化车辆的俯仰加速度响应。控制器增益采用梯度下降法和顺序二次编程算法进行优化。此外,还介绍了联合模拟方法和车辆动态模型。有关车辆测量的数据取自一辆装有轮内电机的真实汽车。根据路试实验得出的结果,对汽车动态模型进行了验证。为了评估控制器的有效性,建立了动态模型和控制系统之间的协同模拟方法。直线加速测试表明,通过弹簧质量的均方根俯仰角振动测量,乘坐舒适性提高了 25%。在不增加轮胎负荷和车辆纵向动力的情况下实现了控制。
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引用次数: 0
Development of a hybrid intelligent switching hydraulically interconnected suspension system under a multi-objective optimized mode selection strategy with real-world condition 多目标优化模式选择策略下的混合智能切换液压互联悬挂系统的开发与实际应用
Arash Darvish Damavandi, B. Mashadi, M. Masih-Tehrani
Reduction in vertical acceleration is crucial for car manufacturers. This parameter evaluates the comfort index. Moreover, the handling index is another feature that must be under investigation. The suspension system has an essential impact on these two indices. A hybrid intelligent switching hydraulically interconnected suspension (HISHIS) is proposed. The parallel configuration is combined with the diagonal configuration in the suspension system. A mode selection strategy is discussed to select the layout between diagonal and parallel configurations. The only mode of parallel configuration is called Anti-pitch configuration. The diagonal configuration has three modes, including Anti-roll, Anti-oversteering, and Anti-vibration configuration. According to the mode selection strategy, one of these three diagonal configuration modes might be selected. The origin of roll and pitch generation is inertia force and road inputs. Hopfield neural network can recognize the origin of roll and pitch generation. Therefore, the performance of valves will change according to Hopfield neural network recognition. The results of different maneuvers show the improvement at each targeted parameter in various tasks independently. The data logger gathered the acceleration of the vehicle in real-world conditions. However, the margins of the selection strategy block are multi-objective optimized with a genetic algorithm to reach better responses in real-world conditions. The roll angle, yaw rate, allowable exposure time, and pitch angle are improved by 63%, 5%, 40%, and 99% on average. Also, optimizing the selection strategy improves the allowable exposure time by 9%. Obviously, by combining two layouts, it is possible to have a flexible situation to improve ride comfort and handling situations. In addition, there is a conditional strategy to select different layouts and modes to reach a better response.
降低垂直加速度对汽车制造商来说至关重要。这一参数可评估舒适性指数。此外,操控指数也是必须研究的另一个特征。悬架系统对这两项指数有着至关重要的影响。我们提出了一种混合智能切换液压互联悬架(HISHIS)。在悬架系统中,平行配置与对角配置相结合。讨论了在对角配置和平行配置之间选择布局的模式选择策略。平行配置的唯一模式被称为反斜度配置。对角配置有三种模式,包括防侧倾配置、防转向过度配置和防振动配置。根据模式选择策略,可从这三种对角线配置模式中选择一种。侧倾和俯仰的产生源于惯性力和道路输入。Hopfield 神经网络可以识别产生侧倾和俯仰的起源。因此,阀门的性能会随着 Hopfield 神经网络的识别而改变。不同操作的结果表明,在各种任务中,每个目标参数都得到了独立改善。数据记录器收集了车辆在实际条件下的加速度。然而,选择策略模块的余量是通过遗传算法进行多目标优化的,以便在实际条件下获得更好的响应。滚动角、偏航率、允许暴露时间和俯仰角平均分别提高了 63%、5%、40% 和 99%。此外,优化选择策略还能将允许曝光时间提高 9%。显然,通过将两种布局相结合,可以灵活地改善驾驶舒适性和操控情况。此外,还有一种有条件的策略可以选择不同的布局和模式,以达到更好的响应效果。
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引用次数: 0
Modelling and control of electromechanical disc brake for heavy-duty vehicles 重型车辆机电盘式制动器的建模与控制
İbrahim Can Güleryüz, Özgün Başer, Özgün Cem Yılmaz
This paper proposes a validated procedure that can be used for development stage of model-based controller for heavy-duty electromechanical disc brakes. Firstly, system dynamics model of a single piston electromechanical disc brake is constructed in Matlab/Simulink environment in consideration of nonlinear friction model. To ensure the accuracy of system dynamics model, open loop measurements (clamping force, motor angle and motor current) are conducted on a prototype of single piston electromechanical disc brake. Experimental data is used for the determination of system variables. The predicted outputs are verified by comparison of experimental measurement results. For the control purpose of electromechanical brake, a multi-stage closed loop architecture is introduced. To regulate clamping force, PID and sliding mode controllers are developed in Matlab/Simulink in consideration of braking performance requirements for heavy-duty vehicles. For management of running clearance between brake disc and pad, PID position controller is developed in simulation environment. Those controller parameters obtained in the simulation process are introduced to the control hardware. After that closed loop clamping force and position measurements are conducted. When the rise time values of both clamping force controllers are compared, it is seen that sliding mode controller can reach to the settling point faster than PID controller. As for the position controller, the rise time requirement has been achieved by the designed PID controller. The switching process of force and position controllers are implemented and functional closed loop measurements are conducted for different reference input signals. It is seen from the results that the rise time requirement for position controller has been achieved. The system response of clamping force parameter is considerably stable.
本文提出了一种可用于重型机电盘式制动器基于模型控制器开发阶段的验证程序。首先,考虑到非线性摩擦模型,在 Matlab/Simulink 环境中构建了单活塞机电盘式制动器的系统动力学模型。为确保系统动力学模型的准确性,对单活塞机电盘式制动器原型进行了开环测量(夹紧力、电机角度和电机电流)。实验数据用于确定系统变量。通过对比实验测量结果,验证了预测输出。为实现机电制动器的控制目的,引入了多级闭环结构。考虑到重型车辆的制动性能要求,在 Matlab/Simulink 中开发了 PID 和滑动模式控制器来调节夹紧力。为了管理制动盘和制动片之间的运行间隙,在仿真环境中开发了 PID 位置控制器。在仿真过程中获得的控制器参数被引入到控制硬件中。然后进行闭环夹紧力和位置测量。比较两种夹紧力控制器的上升时间值,可以看出滑动模式控制器比 PID 控制器更快到达稳定点。至于位置控制器,所设计的 PID 控制器已达到上升时间要求。力控制器和位置控制器的切换过程已经实现,并对不同的参考输入信号进行了功能闭环测量。从结果可以看出,位置控制器的上升时间要求已经达到。夹紧力参数的系统响应相当稳定。
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引用次数: 0
Intersection collision risk evaluation and active collision avoidance strategies for autonomous vehicles 自动驾驶车辆的交叉路口碰撞风险评估和主动避撞策略
Jian Zhang, Ning Chen, Yandong Chen, Pengyu Wang, Yong Zhang
In order to ensure that the autonomous vehicle can predict and taking actions to avoid the collision in time when facing the obstacles with intersection collision risk, an intersection collision risk prediction system is proposed in this paper, and two kinds of active obstacle avoidance strategies are designed according to the system: braking strategy and steering strategy. The position information of the obstacle is predicted by Fractional extended Kalman filter, the collision risk rate is determined by the time difference between the vehicle and the obstacle through the intersection point, and a neural network is trained to quickly give the collision risk of the vehicle and the obstacle. Braking strategy and steering strategy are formulated according to collision risk, the braking deceleration and Sigmoid path parameters are given. Finally, the simulation results of PreScan and MATLAB show that the collision risk prediction system can accurately predict the collision between vehicles and obstacles, the braking and steering strategies can effectively avoid the collision.
为了保证自动驾驶车辆在面对有交叉路口碰撞风险的障碍物时能够及时预测并采取避让行动,本文提出了一种交叉路口碰撞风险预测系统,并根据该系统设计了两种主动避障策略:制动策略和转向策略。通过分部扩展卡尔曼滤波器预测障碍物的位置信息,根据车辆与障碍物通过交叉点的时间差确定碰撞风险率,并训练神经网络快速给出车辆与障碍物的碰撞风险。根据碰撞风险制定制动策略和转向策略,并给出制动减速和 Sigmoid 路径参数。最后,PreScan 和 MATLAB 的仿真结果表明,碰撞风险预测系统能准确预测车辆与障碍物的碰撞,制动和转向策略能有效避免碰撞。
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引用次数: 0
Research on parallel control strategy of power converters based on fuzzy neural network 基于模糊神经网络的电力变流器并行控制策略研究
Gui-Bin Sun, Song Chen, Shen Zhou, Yun-Ying Zhu
As pure electric vehicles shift toward intelligent technology, the energy demand for onboard equipment is on the rise. In this study, a parallel control strategy for two 3-kW DC–DC power converters was proposed to meet the power requirements of pure electric vehicle loads in this paper. First, the operation mode of the resonant power converter was analyzed. The operation mode of the power converter adopted the advantageous frequency conversion–phase shift control mode. Second, a parallel control method for Takagi–Sugeno-type fuzzy neural network converters with four inputs and a single output first-order was designed to meet the power demand based on the advantages of fuzzy control and neural networks. The neural networks can be trained automatically based on the established requirements, and the fuzzy rules formulated through fuzzy neural networks were more detailed and accurate. Finally, the proposed control strategy was validated by experiments. The experimental results showed that the proposed control strategy can ensure the stable operation of the power converter during switching under the set load. The output power of the primary and sub converters varies linearly, which can meet the load’s demand for high power. There is no need to develop higher-power power converters. These results can provide a new idea for the research of high-power power converters and reduce development costs.
随着纯电动汽车向智能化技术转变,车载设备的能源需求也在不断增加。本研究提出了两个 3 千瓦 DC-DC 功率转换器的并联控制策略,以满足纯电动汽车负载的功率要求。首先,分析了谐振功率转换器的运行模式。功率转换器的运行模式采用了优势的变频-移相控制模式。其次,基于模糊控制和神经网络的优势,设计了四输入单输出一阶的高木-菅野型模糊神经网络变流器并联控制方法,以满足电力需求。神经网络可根据既定要求自动训练,通过模糊神经网络制定的模糊规则更加详细和准确。最后,对所提出的控制策略进行了实验验证。实验结果表明,所提出的控制策略能确保功率变流器在设定负载下的开关过程中稳定运行。初级变流器和次级变流器的输出功率呈线性变化,可以满足负载对大功率的需求。无需开发更大功率的功率转换器。这些结果可为大功率功率转换器的研究提供新思路,并降低开发成本。
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引用次数: 0
Key dynamic performance analysis of flexible spoke non-pneumatic tire for matched unmanned ground vehicles 用于匹配无人地面车辆的柔性辐条非充气轮胎关键动态性能分析
Kai Chen, Hongxun Fu, Zhen Xiao, Bowen Yang, Shanqian Ni, Ruijian Huo
To fundamentally improve the lifespan of unmanned ground vehicles and their internal parts, it is urgent to address the problem of tire jumping during driving, steering, or turning. This article proposes the use of flexible spoke non-pneumatic tires instead of pneumatic tires. Therefore, a three-dimensional finite element model of a certain type of pneumatic tire and flexible spoke non-pneumatic tire was constructed and the validity of the model was verified. A simulation scheme was designed to investigate the tire cushioning and lateral performance. In order to explore the degree of influence of the structural parameters of the flexible spoke non-pneumatic tire on its cushioning and lateral performance, an orthogonal experimental simulation scheme based on L9 (33) was developed. The results show that the non-pneumatic tire requires 0.006 s to recover stability after experiencing significant vibration due to passing over a bump, while the pneumatic tire requires 0.028 s. Under rated working conditions, the non-pneumatic tire is subjected to a lateral force of 285.29 N, which is 1.9 times that of the pneumatic tire’s 142.59 N. The cushioning and lateral performance of the non-pneumatic tire is most affected by the element angle α, with an impact level of over 90%. The flexible spoke non-pneumatic tire proposed in this article can effectively solve the tire jumping problem of unmanned ground vehicles during driving, while providing design ideas for improving the cushioning and lateral performance of non-pneumatic tires.
为了从根本上提高无人地面车辆及其内部零件的使用寿命,迫切需要解决行驶、转向或转弯时轮胎跳动的问题。本文提出使用柔性辐条非充气轮胎代替充气轮胎。因此,构建了某型充气轮胎和柔性辐条非充气轮胎的三维有限元模型,并验证了模型的有效性。设计了一个模拟方案来研究轮胎的缓冲和横向性能。为了探索软辐条非充气轮胎的结构参数对其缓冲和横向性能的影响程度,开发了基于 L9 (33) 的正交实验仿真方案。结果表明,非充气轮胎在经过颠簸路面产生明显振动后需要 0.006 秒才能恢复稳定,而充气轮胎则需要 0.028 秒。在额定工作条件下,非充气轮胎承受的侧向力为 285.29 N,是充气轮胎 142.59 N 的 1.9 倍。非充气轮胎的缓冲和横向性能受元件角 α 的影响最大,影响程度超过 90%。本文提出的柔性辐条非充气轮胎能有效解决无人地面车辆行驶过程中的轮胎跳动问题,同时为提高非充气轮胎的缓冲和横向性能提供了设计思路。
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引用次数: 0
Enhancing high-speed steering stability of wheel-legged vehicles by active roll control 通过主动侧倾控制增强轮式车辆的高速转向稳定性
Hui Liu, Xiaolei Ren, Lijin Han, Yechen Qin, Jingshuo Xie, Baoshuai Liu
Wheel-legged vehicles (WLVs) combine the speed of wheels with the active control of legs to traverse challenging terrain, which presents a new development possibility for enhancing the system’s mobility and stability. Most of the existing studies mainly focus on the stability of low-speed trajectory optimization or obstacle-surmounting by hybrid walking-driving. Without considering the stability of high-speed driving. To enhance the vehicle stability at high-speed steering, with the additional roll moment generated by the active roll motion taken into account, a 15-degree-of-freedom nonlinear yaw-roll coupled vehicle model is developed. Specifically, a fusion dynamic stability factor for skid steering is presented as the rollover threshold to determine the three-dimensional stability region of longitudinal speed, yaw rate and roll angle, based on which the vehicle’s ideal roll angle is obtained. Subsequently, a hierarchical parallel control scheme is proposed to decouple the yaw and roll motions of the wheel-legged vehicle. The fusion dynamic stability factor is regarded as the switching threshold of the upper-level controller, while the lower-level controller adopts the linear quadratic regulator and the sliding mode control to actively control additional roll moment and direct yaw moment, respectively. Furthermore, the studies for the dynamic model and the proposed controller are conducted through vehicle tests. Corresponding test results validate the advantages of the proposed control scheme over conventional schemes without active roll control, in which vehicle stability is effectively improved, thereby preventing vehicle rollover in the case of high-speed steering.
轮腿式车辆(WLV)结合了轮子的速度和腿部的主动控制来穿越具有挑战性的地形,这为提高系统的机动性和稳定性提供了新的发展可能性。现有的大多数研究主要集中在低速轨迹优化或混合步行-驾驶的障碍物跨越的稳定性上,而没有考虑高速行驶的稳定性。而没有考虑高速行驶的稳定性。为了提高车辆在高速转向时的稳定性,考虑到主动侧倾运动产生的额外侧倾力矩,建立了一个 15 自由度非线性偏航-侧倾耦合车辆模型。具体地说,提出了滑行转向的融合动态稳定因子作为翻车阈值,以确定纵向速度、偏航率和侧倾角的三维稳定区域,并在此基础上获得车辆的理想侧倾角。随后,提出了一种分层并行控制方案,以解耦轮足车辆的偏航和侧倾运动。融合动态稳定因子被视为上层控制器的开关阈值,而下层控制器则采用线性二次调节器和滑动模式控制分别主动控制附加侧倾力矩和直接偏航力矩。此外,还通过车辆测试对动态模型和拟议控制器进行了研究。相应的测试结果验证了所提出的控制方案相对于没有主动侧倾控制的传统方案的优势,其中车辆稳定性得到了有效改善,从而防止了车辆在高速转向时发生侧翻。
{"title":"Enhancing high-speed steering stability of wheel-legged vehicles by active roll control","authors":"Hui Liu, Xiaolei Ren, Lijin Han, Yechen Qin, Jingshuo Xie, Baoshuai Liu","doi":"10.1177/09544070231211369","DOIUrl":"https://doi.org/10.1177/09544070231211369","url":null,"abstract":"Wheel-legged vehicles (WLVs) combine the speed of wheels with the active control of legs to traverse challenging terrain, which presents a new development possibility for enhancing the system’s mobility and stability. Most of the existing studies mainly focus on the stability of low-speed trajectory optimization or obstacle-surmounting by hybrid walking-driving. Without considering the stability of high-speed driving. To enhance the vehicle stability at high-speed steering, with the additional roll moment generated by the active roll motion taken into account, a 15-degree-of-freedom nonlinear yaw-roll coupled vehicle model is developed. Specifically, a fusion dynamic stability factor for skid steering is presented as the rollover threshold to determine the three-dimensional stability region of longitudinal speed, yaw rate and roll angle, based on which the vehicle’s ideal roll angle is obtained. Subsequently, a hierarchical parallel control scheme is proposed to decouple the yaw and roll motions of the wheel-legged vehicle. The fusion dynamic stability factor is regarded as the switching threshold of the upper-level controller, while the lower-level controller adopts the linear quadratic regulator and the sliding mode control to actively control additional roll moment and direct yaw moment, respectively. Furthermore, the studies for the dynamic model and the proposed controller are conducted through vehicle tests. Corresponding test results validate the advantages of the proposed control scheme over conventional schemes without active roll control, in which vehicle stability is effectively improved, thereby preventing vehicle rollover in the case of high-speed steering.","PeriodicalId":509770,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139527478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A nonlinear model predictive control for air suspension in hub motor electric vehicle 轮毂电机电动汽车空气悬架的非线性模型预测控制
Yi Yu, Zhongxing Li, Yin Zhou, Xue Wang
The hub-motor electric vehicle (HM-EV) is considered as an ideal configuration for electric vehicles (EVs). However, the electromechanical coupling effect deteriorates HM-EV ride comfort, which limits its widespread application in EVs. In this study, the HM-EV dynamic system with air springs is proposed to intervene in vehicle attitude and ride comfort. The HM-EV dynamic model with air spring, considering the electromechanical coupling effect, is established and the test validation is investigated. Then quasi-infinite horizon nonlinear model predictive control (QIH NMPC) is designed to improve the longitudinal and vertical dynamic performance. The dynamic performance of passive suspension, air suspension based on QIH NMPC, air suspension based on MPC, and PID control receptively, are compared under several random road scenarios. Finally, the results indicated that the proposed control algorithm can improve ride comfort, reduce motor vibration, and improve longitudinal and vertical dynamic performance.
轮毂电机电动汽车(HM-EV)被认为是电动汽车(EV)的理想配置。然而,机电耦合效应会降低 HM-EV 的乘坐舒适性,从而限制了其在电动汽车中的广泛应用。本研究提出了带空气弹簧的 HM-EV 动态系统,以干预车辆姿态和乘坐舒适性。考虑到机电耦合效应,建立了带空气弹簧的 HM-EV 动态模型,并进行了试验验证。然后设计了准无限视界非线性模型预测控制(QIH NMPC)来改善纵向和垂直动态性能。在几种随机路况下,比较了被动悬架、基于 QIH NMPC 的空气悬架、基于 MPC 的空气悬架和接受式 PID 控制的动态性能。最后,研究结果表明,所提出的控制算法可以提高乘坐舒适性,减少电机振动,改善纵向和垂直动态性能。
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引用次数: 0
Improved sliding mode extension control of vehicle active front wheel steering based on extended state observer 基于扩展状态观测器的车辆主动前轮转向改进型滑动模式扩展控制
Yuang Huang, You-qun Zhao, Junzhu Wang, Fen Lin
In order to improve the handling stability of electric vehicles, a new active front-wheel steering (AFS) control method was proposed. Firstly, parametric uncertainty and external interference in vehicle dynamics are summarized as a nonlinear interference term in vehicle model. An extended state observer (ESO) is designed to observe and compensate the nonlinear interference terms in real time, so as to improve the accuracy and control effect of the model. Secondly, in order to further increase the convergence speed and effectively suppress the chattering phenomenon in sliding mode control without affecting its robustness and reaching speed, an integral exponential fast terminal sliding mode controller (IEFTSMC) based on fast exponential reaching law (FERL) is designed. The problem that the control effect of some regions becomes worse when a single control algorithm is used for global region control in traditional AFS control is addressed. By combining extension theory with sliding mode control method, an improved sliding mode extension control is designed to improve the effect of AFS global control. Finally, comparative simulation tests are carried out on the CarSim/Simulink co-simulation platform. The results show that compared with the traditional FTSMC, the improved sliding mode extension control method based on ESO can not only suppress chattering more effectively, but also smoother the response curve. It also has good control effect when there is external disturbance. The effectiveness and robustness of the control strategy are verified.
为了提高电动汽车的操纵稳定性,提出了一种新的主动前轮转向(AFS)控制方法。首先,车辆动力学中的参数不确定性和外部干扰被归纳为车辆模型中的非线性干扰项。设计了一种扩展状态观测器(ESO)来实时观测和补偿非线性干扰项,从而提高模型的精度和控制效果。其次,为了进一步提高收敛速度,在不影响滑模控制鲁棒性和达到速度的前提下有效抑制滑模控制中的颤振现象,设计了基于快速指数达到律(FERL)的积分指数快速终端滑模控制器(IEFTSMC)。解决了传统 AFS 控制中采用单一控制算法进行全局区域控制时,部分区域控制效果变差的问题。通过将扩展理论与滑模控制方法相结合,设计了一种改进的滑模扩展控制,以改善 AFS 全局控制的效果。最后,在 CarSim/Simulink 协同仿真平台上进行了对比仿真测试。结果表明,与传统的 FTSMC 相比,基于 ESO 的改进型滑模扩展控制方法不仅能更有效地抑制颤振,还能使响应曲线更加平滑。当存在外部扰动时,它也具有良好的控制效果。该控制策略的有效性和鲁棒性得到了验证。
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引用次数: 0
Nonlinear shimmy and dynamic bifurcation in vehicle system with driver steering input 带驾驶员转向输入的车辆系统中的非线性抖动和动态分叉
Heng Wei, Yinggang Xu, Xiang-yu Wang, Liang Li
Based on the dynamic coupling analysis of the front wheel shimmy and vehicle plane motion, a three degrees of freedom (DOF) nonlinear shimmy model considering driver steering input is established. Firstly, when the driver steering input is not considered, the modal properties and dynamic stability of the system are investigated by solving the Jacobian matrix. Then, the nonlinear shimmy behavior considering the driver steering input is discussed by means of numerical calculations. The slow flow equations of the vehicle system considering the driver steering input are derived based on the complexification-averaging (CA) method. According to the nonlinear dynamics theory, the saddle node (SN) and Hopf bifurcation characteristics of the system are analyzed, the analytical solution of the front wheel shimmy angle is also obtained. Finally, with the help of the understeer gradient, the influence of the linear cornering stiffness of the front wheel on the nonlinear shimmy motion is discussed. It is summarized that the SN and Hopf bifurcation are more likely to occur in the shimmy system for an oversteered vehicle. The relevant conclusions are useful for the early anti-shimmy design of vehicles.
基于前轮抖动和车辆平面运动的动态耦合分析,建立了考虑驾驶员转向输入的三自由度(DOF)非线性抖动模型。首先,在不考虑驾驶员转向输入的情况下,通过求解雅各布矩阵来研究系统的模态特性和动态稳定性。然后,通过数值计算讨论了考虑驾驶员转向输入的非线性抖动行为。基于复杂化平均(CA)方法,推导出了考虑驾驶员转向输入的车辆系统慢流方程。根据非线性动力学理论,分析了系统的鞍状节点(SN)和霍普夫分岔特性,并得到了前轮抖动角的解析解。最后,借助转向不足梯度,讨论了前轮线性转弯刚度对非线性抖动运动的影响。总结发现,转向过度车辆的抖动系统更容易出现 SN 和霍普夫分岔。相关结论对车辆的早期防甩尾设计很有帮助。
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引用次数: 0
期刊
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering
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