How can i plot euler transformation system ?

Question

Hardik 2022-12-23

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1883597-how-can-i-plot-euler-transformation-system

回答： Divit 2023-9-1

hello in my question I have to derive the bilinear TF and Euler TF. I have completed the bilinear part but i have no idea how to do Eular part I am trying to slove this for hours now and still not able to do that. I want to implement forward type but i dont know where to start. can someone please write the sample code. Thank you below is my Question Use sampling period of 0.1 Sec and both Bilinear and Euler transformations to convert the compensated systems into digital (discrete). Provide the overall closed loop transfer function (indiscrete domain) andraw the step responses of the systems obtained below is my TF. Fb =

               20 s^2 + 60 s + 700
  -----------------------------------------------
   83 s^3 + 210.5 s^2 + 300 s + 700

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Image Analyst 2022-12-23

Is this different than this: https://www.mathworks.com/matlabcentral/answers/1883422-how-to-plot-the-eular-transformation?s_tid=srchtitle

Hardik 2022-12-23

Yes. I just need eular solution. I have try so many times but not getting the answers. If you know how to Slove this please tell me.

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Answer 1

Divit 2023-9-1

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https://ww2.mathworks.cn/matlabcentral/answers/1883597-how-can-i-plot-euler-transformation-system#answer_1299416

在 MATLAB Online 中打开

I understand that you have a continuous-time transfer function which you would like to convert to discrete-time domain using the Euler method, you can follow these steps: 

num = [20 60 700];  
den = [83 210.5 300 700];  
G = tf(num, den);  
Ts = 0.1;  
Gd = c2d(G, Ts, 'foh');  
[numd, dend] = tfdata(Gd, 'v');  
Gd_tf = tf(numd, dend, Ts);
step(Gd_tf); 