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Advanced Robotics, since 2012 Spring

Week

Topics

Contents

Lecture Notes

1

Introduction

 

#1

2

Planar transformations and displacements

  • 2D vectors
  • 2D coordinate systems
  • Planar transformations
#2

3

Planar transformations and displacements

  • Homogeneous transformations
  • Operators
#3

4

Spatial transformations and displacements

  • 3D vectors, rotations
  • Composition of rotations, transformations
  • Angle-axis
#4

5

Spatial transformations and displacements

  • Matrix to angle-axis
  • Euler parameters
  • Euler angles
#5

6

Forward kinematics for position

  • Types of robots, basic DH parameters
  • DH special cases, end and base links
#6

7

Midterm Exam

 

 

8

Forward kinematics for position

  • DH parameters to manipulators
  • Manipulators to DH parameters
  • Forward kinematics, tool transform
 

9

Inverse kinematics for position

  • Two-link manipulators, spatial arm
  • Spatial arm with shoulder
  • Wrist solution, 6-DOF manipulator
 

10

Trajectory planning

  • Polynomial and LSPB trajectories
  • Cartesian trajectory planning: position
 

11

Velocity and acceleration

  • Time derivatives of rotation matrices
  • Euler angle rates
  • spatial motion of objects
 

12

Velocity and acceleration

  • Joint-constrained motion
  • Velocity Jacobians
  • Acceleration
  • Inverse kinematic velocities
 

13

Statics

  • Forces and torques
  • Center of mass
  • 1D and 2D manipulator force and torque
 

14

Dynamics

  • 3D manipulator force and torque; Momentum, inertia
  • Properties of the inertia matrix
  • Newton-Euler equations
  • 1D, 2D, and 3D manipulator dynamics
 

15

Final Exam