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Variables of the double inverted pendulum

  1. Feb 11, 2013 #1
    I am trying to model the following in a computer simulation:

    The Acrobot

    However I am struggling to understand which variables stand for which. In particular, the variables not defined are:
    • d1 and d2
    • phi1 and phi2

    Another problem is which order are these calculated in to update the system? d1 and d2 first (as the angular acceleration relies on these).
  2. jcsd
  3. Feb 11, 2013 #2


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    Staff: Mentor

    d1 is the total moment of inertia, d2 is some part of it related to link 2.
    phi1 and phi2 are linked to the potential energy of the system.
    Those variables just simplify the equations, you could insert their definitions in the first two equations and get rid of them - but that would give very long expressions.

    The angular acceleration needs all 4 of them. Therefore, after each change of angles, re-calculate them.
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