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Modeling and Control of Manipulators - LAB 1

1. You will need to define all the model matrices, and fill the so called biTri matrix. Be careful to define the z-axis coinciding with the joint rotation axis, and such that the positive rotation is the same as showed in the CAD model you received.

2. Then, develop a function called DirectGeometry() which can calculate how the matrix attached to a joint will rotate if the joint rotates, using the interface:

function biTei = DirectGeometry(qi, biTri, linkType).

3. The last step will be useful in developing the GetDirectGeometry() function which will return all the model matrices given a certain q configuration. These variable will now be vectors, of length equal to the number of joints.

function biTei = GetDirectGeometry(q, biTri, linkType)

4. Now that you have the biTei you can calculate all the transformation matrices between any two links, between a link and the base and the corresponding distance vectors. To do so incorporate these functionalities in the repository functions named accordingly.

5. Now that you’ve reached this point define a starting and ending configuration, qi and qf, and try to plot all the intermediate link positions in between the two (you can use the plot3() or line() functions).