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Homework Help: Obtaining state space from transfer functions

  1. Nov 15, 2011 #1
    1. The problem statement
    I have a MIMO system with two inputs and two outputs. I have all transfer functions between inputs and outputs. I want to obtain a state space model that describes this system. All transfer functions are of 3rd degree.

    2. Relevant equations
    "Transfer matrix":
    HP(s)=[H11, H12; H21, H22]

    H11=[itex]\frac{1}{100s^3+80s^2+17s+1}[/itex]

    H12=[itex]\frac{0.5}{100s^3+80s^2+17s+1}[/itex]

    H21=[itex]\frac{4.8}{5s^3+13.5s^2+7.5s+1 }[/itex]

    H22=[itex]\frac{16}{5s^3+13.5s^2+7.5s+1 }[/itex]
     
    Last edited: Nov 15, 2011
  2. jcsd
  3. Nov 15, 2011 #2
    Solved it :-D

    I created two equations for the outputs which resulted in two 3rd degree ODE's. From these two equations I created 6 states, where only two of them was of any interest to me, so I put those two states in the measurment equation of the state space model.
     
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