Finding Poles and Zeros using State-space Methods

We show that transfer function poles and zeros can be found by solving eigenvalue problems involving the state-space matrices A, B, C and D.

[richard_pates]

Please note I got a little bit tangled up when musing on system poles around 5:27. In the situation when the numerator and denominator polynomials of the transfer function G=C(sI-A)^(-1)B+D have a root in the same location, you absolutely should not call this point a pole. The correct term for these points are removable singularities. Whether or not you are concerned about these points is a more philosophical issue (which is what I was trying to get into in my ramblings). Since you will never observe the effects of your inputs on these system behaviours, should you really care? Something to think about perhaps, and the answer really depends on how you obtained your model (input-output data, physics, ...). Not a big point though - just something extra to think about!

[WallaWillie]

Just a question, do you write mirrored or is it done with some editing tricks?

[IK_Control_GCU]

I think you are onlu considering square systems. Maybe a better and generalised methodology would be to think about the basis vectors spanning the null space of the augmented matrix. Just an idea. Cheers

[DhruvHaldar]

How to find zero direction from G(s) & a zero z?

[fengchunli]

Do you actually using your right hand writing😃😃😃?