# Homework Help: System modelling exercise

1. Oct 17, 2011

### rAz:DD

Hello.
I have some trouble solving this exercise.

For this given linear system:

with the input Tm(T)
described by these equations

or re-written this way

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

resulting

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