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arXiv 2609.28676math.OC

r-安全余量与自适应运动平滑用于跟车过渡

The r-Safety Reserve and Adaptive Kinematic Smoothing for Car-Following Transitions

Xuesong Zhou, Ziyi Zhang

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中文总结 AI 辅助

本文提出r-安全余量与自适应运动平滑(AKS)框架,将速度-间距关系转化为解析有限过渡轨迹,实验表明AKS可降低21-47%加速度努力和73-81%加加速度,为纵向控制提供参考。

中文摘要 AI 辅助

纵向间距模型描述了车辆维持的速度-间距状态,而纵向控制器通过间距和速度误差来调节车辆运动。较少明确的是,一个间距状态应如何通过有限的、物理上可行的车辆过渡连接到另一个状态。本文通过r-安全(r-Safety)和自适应运动平滑(AKS)建立了这种连接。r-安全关系通过制动归一化余量表示速度相关的间距,其变化连同前车运动决定了过渡期间所需的跟车位移。AKS随后将该位移转换为具有一致位置、速度、间距和加速度的低维解析轨迹。使用受控车队和NGSIM轨迹的实验分别确定了r-安全值为0.307和0.249-0.281,并表明AKS既能表示观测到的过渡,也能在规定的端点状态、过渡视界和前车运动下生成前瞻参考。在同控制器消融实验中,添加AKS在受控和自然驾驶数据集上将积分加速度努力降低了21-47%,将积分平方加加速度降低了73-81%。FHWA ACC/CACC轨迹进一步提供了自动跟车下有限视界执行的实证说明,展示了间距调整如何在规定的速度过渡之外继续进行。因此,该框架提供了从速度-间距关系到解析有限过渡及其作为纵向控制参考的直接路径。

英文摘要

Longitudinal spacing models describe the speed--spacing states that vehicles maintain, while longitudinal controllers regulate vehicle motion through spacing and speed errors. Less explicit is how one spacing state should be connected to another through a finite, physically meaningful vehicle transition. This paper develops such a connection through r-Safety and Adaptive Kinematic Smoothing (AKS). The r-Safety relation represents speed-dependent spacing through a braking-normalized reserve, whose change, together with leader motion, determines the follower displacement required during a transition. AKS then converts this displacement into a low-dimensional analytical trajectory with consistent position, speed, spacing, and acceleration. Experiments using controlled platoons and NGSIM trajectories identify r-Safety values of 0.307 and 0.249--0.281, respectively, and show that AKS can both represent observed transitions and generate prospective references under prescribed endpoint states, transition horizons, and leader motion. In same-controller ablations, adding AKS reduces integrated acceleration effort by 21--47% and integrated squared jerk by 73--81% across the controlled and naturalistic datasets. FHWA ACC/CACC trajectories further provide an empirical illustration of finite-horizon execution under automated following, showing how spacing adjustment can continue beyond the prescribed speed transition. The framework therefore provides a direct path from a speed--spacing relation to an analytical finite transition and its use as a longitudinal control reference.

发表机构

  • School of Sustainable Engineering and the Built Environment, Arizona State University(亚利桑那州立大学可持续工程与建成环境学院)

机构由 AI 辅助整理,请以论文原文为准。

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