Approximating Kinematics for Tracked Mobile Robots

Idea

在运动平面上的瞬时旋转中心是相对于robot是dynamics-dependent,but lie within a bounded area. Thus, optimizing constant ICR positions for a particular terrain results in an approximate kinematic model for tracked mobile robots.

Introduction

Tracked Mobile Robot 现在有如下这几种streer的方式:

  • articulated steering
  • curved track steering
  • skid steering
    这种是现在最常使用的,因为it is simpler from the mechanical standpoint and it achieves a faster response.

skid steering现在存在的问题:
variation of the relative velocity of the two tracks results in slippage as well as soil shearing and compacting in order to achieve steering. 这导致的最终问题就是:kinematics is not straightforward, since it is not possible to predict the exact motion of the vehicle only from the control inputs.

Approach

这篇文章提出的方法就是model kinematics for tracked vehicles by obtaining a geometric analogy with a wheeled differential drive model. 然后对模型进行参数辨识。
做出的假设:planar uniform hard terrain type and mobile robot operation at moderate speeds

Kinematics for Tracked Vehicles

kinematics:
(vx,vy,wz)=fd(Vl,Vr)(v_{x}, v_{y}, w_{z}) = f_{d}(V_{l}, V_{r})(vx,vy,wz)=fd(Vl,Vr)
inverse kinematics:
(Vl,Vr)=fi(vx,vy,wz)(V_{l}, V_{r}) = f_{i}(v_{x}, v_{y}, w_{z})(Vl,Vr)=fi(vx,vy,wz)

接下来就引入这篇文章中最重要的概念:瞬时旋转中心 Instantaneous Center of Rotation (ICRvICR_{v}ICRv)
ICR is defined as the point in the horizontal plane where the motion of the vehicle can be represented by a rotation and no translation occurs.

不仅要entire body的运动,也要考虑the motion of both its tracks on their contact surface with the ground.

左右两边履带的旋转中心在local frame中的定义为

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