arXiv:2409.18641cs.ROcs.SY2024-09

为履带车设计可理论保证的轨迹控制与规划框架,兼顾精度与稳定性。

Pseudo-Kinematic Trajectory Control and Planning of Tracked Vehicles

  • 提出伪运动学建模方法,简化复杂土-履带交互系统。
  • 基于李雅普诺夫的反馈控制器,实现轨迹跟踪的可验证性。
  • 提供多套规划方案,适配不同场景的实时性与精度需求。

履带车辆通过履带连续分布重量,使其成为穿越松软不平地形的理想选择。然而从机器人学角度看,这种灵活性带来建模复杂性和导航设计困难。本文提出一种履带车辆导航框架,包含三大支柱:第一是仿真模型与面向控制的伪运动学模型,前者捕捉土壤-履带相互作用的复杂力学特性,用于构建多种工况下的高保真数字孪生;后者数学可处理,支持高效且理论可靠的控制设计。第二是基于李雅普诺夫的反馈轨迹控制器,提供可验证的跟踪性能保证。第三是多个运动规划方案,各具不同的复杂度-精度权衡。所提方法在大量仿真与实验数据中得到验证。

原文摘要 · Abstract (English)

Tracked vehicles distribute their weight continuously over a large surface area (the tracks). This distinctive feature makes them the preferred choice for vehicles required to traverse soft and uneven terrain. From a robotics perspective, however, this flexibility comes at a cost: the complexity of modelling the system and the resulting difficulty in designing theoretically sound navigation solutions. In this paper, we aim to bridge this gap by proposing a framework for the navigation of tracked vehicles, built upon three key pillars. The first pillar comprises two models: a simulation model and a control-oriented model. The simulation model captures the intricate terramechanics dynamics arising from soil-track interaction and is employed to develop faithful digital twins of the system across a wide range of operating conditions. The control-oriented model is pseudo-kinematic and mathematically tractable, enabling the design of efficient and theoretically robust control schemes. The second pillar is a Lyapunov-based feedback trajectory controller that provides certifiable tracking guarantees. The third pillar is a portfolio of motion planning solutions, each offering different complexity-accuracy trade-offs. The various components of the proposed approach are validated through an extensive set of simulation and experimental data.

轨迹控制履带车李雅普诺夫

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