Stanford / Computer Science

Lagrange Equations

By Oussama Khatib | Introduction to Robotics Lecture 12 of 16

GRADED BY 5 USERS grade it
get flash player

Lecture Description

Lagrange Equations, Equations of Motion, Kinetic Energy, Equations of Motion - Explicit Form, Centrifugal and Coriolis Forces, Christoffel Symbols, Mass Matrix, V Matrix, Final Equation of Motion

Course Description

The purpose of this course is to introduce you to basics of modeling, design, planning, and control of robot systems. In essence, the material treated in this course is a brief survey of relevant results from geometry, kinematics, statics, dynamics, and control.

The course is presented in a standard format of lectures, readings and problem sets. Lectures will be based mainly, but not exclusively, on material in the Lecture Notes. Lectures will follow roughly the same sequence as the material presented in the notes, so it can be read in anticipation of the lectures.

Topics: robotics foundations in kinematics, dynamics, control, motion planning, trajectory generation, programming and design.

Prerequisites: matrix algebra.

Related Resources

Transcript   |  Dynamics   |  Assignment 5 Solutions   |  Assignment 5 Solutions

Course Index

  1. Course Overview
  2. Spatial Descriptions
  3. Homogeneous Transform Interpretations
  4. Manipulator Kinematics
  5. Summary - Frame Attachment
  6. Instantaneous Kinematics
  7. Jacobian - Explicit Form
  8. Scheinman Arm - Demo
  9. Intro - Guest Lecturer: Gregory Hager
  10. Guest Lecturer: Krasimir Kolarov
  11. Joint Space Dynamics
  12. Lagrange Equations
  13. Control - Overview
  14. PD Control
  15. Manipulator Control
  16. Compliance
Leave Feedback