1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...

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1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plo

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Answer 1

Answer #1

% In order to find the transfer function we should apply
... Massaon's Gain formula.

% so as you should have understanding of above stated formulae.
... I am giving you the way to calculate transfer function.

(a) Below is the code for transfer function calculation for above block diagram.

s = tf('s');

TF = (10*(1/s+2)*(2*s/(s^2+2))*(1/s^2)*(1-0)...
+(10*(1/(s^2+2*s+3)*(1/s^2))*(1-((-1)*(1/(s+2))*(2*s/(s^2+2))*((2*s+3)/(s^2+2*s+5))))))/...
(1-((-1)*(1/(s+2)*(2*s/(s^2+2))*((2*s+3)/(s^2+2*s+3)) +...
(15*(1/s^2) + ((-1)*(1/(s+2))*(2*s/(s^2+2))*(1/s^2)*((s^2+1)/(s^3+2)))))))

pzmap(TF) %ploting the above transfer function with its pole and zero.

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Answer 2

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Add Answer to: 1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...

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Add Answer to:
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...