Unity Feedback System-Control Systems-Lab Reports, Exercises of Control Systems

This is lab report Control Systems lab. It was assigned by and submitted to Dr. Anbu Manghirmalani at Birla Institute of Technology and Science. It includes: Unity, Feedback, System, Open, Loop, transfer, Function, Stable, Matlab, Implementation

Typology: Exercises

2011/2012

Uploaded on 07/30/2012

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Lab 13: Effect of Gain on System Stability FA06_BET_012
Lab Task 1
Consider Unity Feed back system with open loop transfer function:
G(s) =
K = 1,2,5, for which K system is stable?
k = [1 2 5];
for i=1:3
num = k(i) * [1 -1 2];
den = [1 2 1];
G = tf(num,den)
T = feedback(G,1)
figure, step(T)
figure, pzmap(T)
end
% Stable for k = 1
% Marginally Stable for k = 2
% Unstable for k = 5
Results:
Matlab Implementation:
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Lab 13: Effect of Gain on System Stability FA06_BET_

Lab Task 1

Consider Unity Feed back system with open loop transfer function: G(s) = K = 1,2,5, for which K system is stable? k = [1 2 5]; for i=1: num = k(i) * [1 -1 2]; den = [1 2 1]; G = tf(num,den) T = feedback(G,1) figure, step(T) figure, pzmap(T) end % Stable for k = 1 % Marginally Stable for k = 2 % Unstable for k = 5

Results:

Matlab Implementation:

  • Lab 13: Effect of Gain on System Stability FA06_BET_

Lab 13: Effect of Gain on System Stability FA06_BET_

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