1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

System modelling exercise

  1. Oct 17, 2011 #1
    Hello.
    I have some trouble solving this exercise.

    For this given linear system:

    4EcV8.png
    with the input Tm(T)
    described by these equations

    BPgPz.png

    or re-written this way

    DB24j.png

    It's also suggested that the states should be considered this way

    pHkBy.png

    resulting

    OM3l3.png


    I have to find out the state-space model (A,B,C,D matrix).

    How do i find the output (y) equation ?
    y is supposed to be a 2x1 matrix, with both theta L and theta M as outputs.

    I tried solving this by calculating the transfer matrix of the system, but it seems that the denominator has 4 poles, but the number of states is 3. How should the size of A be?
    The thing that bugs me is that the first state (x1) is a difference between those two variables i don't know. For the other exercises, the output was usually one of the states, so i was easy finding out its equation.
     
    Last edited: Oct 17, 2011
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted