How do I create a transfer function using the zp2tf function with following poles and zeros

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Matthew
Matthew 2023-12-7
评论： Paul 2023-12-7
Zeros = 1 -1 0.5+2i 0.5-2i poles = -0.3 3 0.2+7i 0.2-7i with a gain k of 1 and i=sqrt(-1) can seem to get the transfer function just keep getting errors could someone help with correct code thanks

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Sam Chak
Sam Chak 2023-12-7
Ran in:
Hi @Matthew
I didn't know what code you have tried. But you just need to specify the zeros, poles, and the gain correctly, and use the zpk() command, followed by the tf() commant.
z = [1 -1 0.5+2i 0.5-2i]; % zeros
p = [-0.3 3 0.2+7i 0.2-7i]; % poles
k = 1; % gain
G = zpk(z,p,k)
G = (s-1) (s+1) (s^2 - s + 4.25) ---------------------------------- (s+0.3) (s-3) (s^2 - 0.4s + 49.04) Continuous-time zero/pole/gain model.
G = tf(G)
G = s^4 - s^3 + 3.25 s^2 + s - 4.25 ----------------------------------------- s^4 - 3.1 s^3 + 49.22 s^2 - 132 s - 44.14 Continuous-time transfer function.

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