How To Obtain The Z-Transform Y(z) Response? #1218

To get more in depth than what you can find in the control systems docs, you might want to consult a discrete-time controls text. I teach a class from Fadali and Visioli https://www.sciencedirect.com/book/monograph/9780128144336/digital-control-engineering

It covers topics like converting between discrete and continuous-time representations of dynamics, the z-transform, and control system design in the z-plane rather than the s-plane, and discrete-time systems in state-space form.

To get more in depth than what you can find in the control systems docs, you might want to consult a discrete-time controls text. I teach a class from Fadali and Visioli https://www.sciencedirect.com/book/monograph/9780128144336/digital-control-engineering

It covers topics like converting between discrete and continuous-time representations of dynamics, the z-transform, and control system design in the z-plane rather than the s-plane, and discrete-time systems in state-space form.

Hello,

I see. Thank you for passing along this book lead. I am currently on the last chapter of Modern Control Systems by Bishop/Dorf 13th Ed. which is an introduction to 'Digital Control Systems'. I see that there are many benefits over the hardware implementation version (in my humble opinion, i.e., parameter values don't change over time as you would generally see with resistors and capacitors (plus tolerances), easy to modify on the fly without having to redesign/re-spin the board, etc.).

The book that you're recommending, is this like an industry standard for digital design? Does it cover/teach practical examples on how to go from circuit / system analysis (i.e., get the plant/system model) -> compensator design -> z-transform -> embedded application SW? That is, from initial to final application?

I just tried using vectors and unfortunately it didn't work (maybe my approach). Is there a method so that I can simplify it such that I can create a function where I can pass in the numerator and denominator vectors as arguments without using the 'z' variables?

sys = ct.TransferFunction(
    [0.3678, 0.2644],             # numerator polynomial
    [ 1.    , -1.3678,  0.3678],  # denominator polynomial
    dt=True)                      # discrete time

Doh!😉 I forgot about the 'dt' argument and setting it to "True". I actually went over that yesterday.

Ok, awesome! Thank you a bunch. 😊👌