0
$\begingroup$

I have the following transfer function:

$$G(s)=\dfrac{1}{(s+1)^{10} (s+0.8)^{10}}$$

There is no pole-zero cancellation, but still, when I convert this into the state-space form using tf2ss command, the state space model is not minimal. Why is it so?

  • 0
    Why do you conclude that the ss model is not minimal? The state space model should be order 10.2012-07-31
  • 0
    You might want to consider sys-1 to get rid of the feed-through term.2012-07-31
  • 0
    What is the order of your ss model?2012-08-01
  • 0
    the order of ss model is 20, but it's not minimal. The rank of controllability gramian = 20 while the rank of observability gramian = 10. which is strange!!2012-08-01
  • 0
    How are you computing the rank? What are the singular values of the observability grammian? It is a bit strange.2012-08-01

2 Answers 2