.Design a PID Controller for the system given below using Ziegler Nicols 2nd Method. G(S) = 1/S(S+1)(S+5) Determine the values of Kp, Ti and Td and obtain the transfer function of the controller

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.Design a PID Controller for the system given below using Ziegler Nicols 2nd Method.

G(S) = 1/S(S+1)(S+5)

Determine the values of Kp, Ti and Td and obtain the transfer function of the controller.

R(S)
Gc (S)
G(S)
Controller
Plant
Steps to implement Zeigler-Nichols Second method.
Reduce K; and Ka to zero.
Increase Kp from zero to critical value Kerat which sustained oscillations
occur.
Note the value of Ker and period (Per) at sustained oscillations.
Use the table below to determine values of Tį and Td-
Ti= Kp/Ki , Td = Kd/Kp
Transcribed Image Text:R(S) Gc (S) G(S) Controller Plant Steps to implement Zeigler-Nichols Second method. Reduce K; and Ka to zero. Increase Kp from zero to critical value Kerat which sustained oscillations occur. Note the value of Ker and period (Per) at sustained oscillations. Use the table below to determine values of Tį and Td- Ti= Kp/Ki , Td = Kd/Kp
Та
Type of PID
Controller
Kp
0.5 Ker
00
Perl1.2
PI
0.45 Ker
Perl8
PID
0.6 Ker
Per/2
The controller transfer function is then is given by
Gc(S) = Kp + i + K«S = K p( 1 +
S
Transcribed Image Text:Та Type of PID Controller Kp 0.5 Ker 00 Perl1.2 PI 0.45 Ker Perl8 PID 0.6 Ker Per/2 The controller transfer function is then is given by Gc(S) = Kp + i + K«S = K p( 1 + S
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