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Robot cinematic model. Which method to get linear and angular speed?

  1. Nov 26, 2011 #1
    Hello all! I have a question regarding how to get the linear and angular speed for this robot for example (RRP).

    http://img205.imageshack.us/img205/774/rrp.png [Broken]

    I am given x and y or the hand, as well as theta (angle)

    If I were asked to calculate the linear.

    Do I derive x and y to q1, q2 and q3, and fill out the Jacobian matrix to get x' and y'?

    Or do I use this formula, where V is speed, R is the rotation matrix, P is the position, etc.. The rotations are on the Z axis.

    http://img842.imageshack.us/img842/4438/equationl.png [Broken]
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Nov 26, 2011 #2

    I like Serena

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    Homework Helper

    Welcome to PF, Patokun! :smile:

    What do you mean by theta?
    Is it the angle to the hand in polar coordinates?
    If you have x and y, that would imply the angle in polar coordinates.

    What do the symbols in your formula represent?

    Btw, if you have x and y of the hand, your system in not fully defined yet.
    There are many possibilities for q1, q2, q3 to get to a specific x and y.

    If however, you have q1, q2, q3, you can set up a formula for x, y, and also for r, theta.
    From those you can find linear speed and angular speed.
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