Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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]



    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook