Obtaining state space from transfer functions

  • Thread starter Liferider
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  • #1
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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.

Homework 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]
 
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Answers and Replies

  • #2
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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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