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Math Help - Differential equation from block diagram below

  1. #1
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    Differential equation from block diagram

    How can I obtain differential equation of the block diagram below ?

    Last edited by moisesbr; September 4th 2009 at 03:24 AM.
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  2. #2
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    Mar 2008
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    The way to find this is by looking at the definition of the transfer function. It is the laplace transform of the output divided by the laplace transform of the input, so we have here:

    \frac{C(s)}{R(s)}=\frac{s^5+2s^4+4s^3+s^2+3}{s^6+7  s^5+3s^4+2s^3+s^2+3}

    From which we have now:

    C(s)\cdot [s^6+7s^5+3s^4+2s^3+s^2+3]=R(s) \cdot [s^5+2s^4+4s^3+s^2+3]

    From which the DE can be found by assuming that the initial conditions are 0.

    coomast
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