Project #6 -- Robot Coordinate Transformations and Their Jacobians



Introduction

The following project studies motion of a "hand" of a robot arm with two links.


Background

Partial differentiation, "goniometry" [refers to the trig identities for cos(a+b) and sin(a+b), etc]


Project Description

Postscript file


The Report

Your project should contain at least the following sections:

Introduction and Summary : This section should give a very brief account of the subject matter discussed in your report.

Exercises: Solve/discuss the 13 problems described in the project. In the project description, you are given many strong hints and many answers. It does not suffice to simply echo these answers back to me in your report! You must show me your work, and justify all your answers. Show me that you know what you are doing with your calculations by including sentences describing your approach. In other words, convince me that you did not simply copy the answers with your brain turned off.

Summary of Ideas: Once you have completed the exercises, you should have a pretty good idea about the effects of changes in the angles alpha and beta on the motion of the hand of the robot. Provide a 1-2 page summary of your understanding of this relationship, and of how one uses linear algebra techniques to address the problem. Use your own words -- do not simply cut and paste the words from the project into your report!

Conclusion : Give a satisfying concluding comment to your report.


Points

This project will be worth 20 points towards your final grade. The point breakdown for this project is as follows:

References

This project directly and unceremoniously ripped off from the web pages of Leo Dorst at Intelligent Autonomous Systems Research Institute for Computer Science, University of Amsterdam