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Kinematics for Wheeled Robot

1. Basic

Goal:

  • FK
  • IK

Math:

  • Wheel
  • w: angular speed
  • v: linear speed
  • Frame
  • world
  • vehicle
  • steer
  • contact
  • Car:
  • Yaw: defined by the car pose and world frame
  • Heading: defined by the path
  • Curvature: the 2nd directvie of path

2. Steering

More freedom joint $\to$ over determined configuration

ICR: instance center of rotation

ALL motion can be considered as a rotation around some point

image-20230317004047578

3. FK

image-20230317004124761