Q.2 Consider the control system shown in Figure below in which a PID controller is used to control the system. The PID controller has the transfer function 52-25-5+3 1 Ge(s) = Kp(1+; + Tas) Tis ke: ker kp=0.6 C(s) R(s) Tico F 5²-35+3 I ko s(s+ 1)(s+5)+P G(s) Ta c PID controller Evaluate the parameters of PID controller using a Ziegler-Nichols tuning method. Table 1: Ziegler-Nichols Tuning Rule Based on Critical Gain Ker and Critical Period Per Type of Kp Ti Ta Controller 0.5K CT 0 P ∞ 1 0 PI 0.45K cr 2PCT 1.2 PID 0.6K cr 0.125Pcr 0.5PCT اركوندال كل 5 (۱) Page 1 of 2 كومة قي طالع ka
Q.2 Consider the control system shown in Figure below in which a PID controller is used to control the system. The PID controller has the transfer function 52-25-5+3 1 Ge(s) = Kp(1+; + Tas) Tis ke: ker kp=0.6 C(s) R(s) Tico F 5²-35+3 I ko s(s+ 1)(s+5)+P G(s) Ta c PID controller Evaluate the parameters of PID controller using a Ziegler-Nichols tuning method. Table 1: Ziegler-Nichols Tuning Rule Based on Critical Gain Ker and Critical Period Per Type of Kp Ti Ta Controller 0.5K CT 0 P ∞ 1 0 PI 0.45K cr 2PCT 1.2 PID 0.6K cr 0.125Pcr 0.5PCT اركوندال كل 5 (۱) Page 1 of 2 كومة قي طالع ka
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Q.2 Consider the control system shown in Figure below in which a PID
controller is used to control the system. The PID controller has the
transfer function
52-25-5+3
Ge(s) = K₂ (1+
1
Tis
+ Tas)
ke ker
KP: 06
R(s)
C(s)
I KO
5²-35+3
Tio F
GAS)
s(s+ 1)(s+5)+P
Ta s
PID
controller
Evaluate the parameters of PID controller using a Ziegler-Nichols
tuning method.
CT
Table 1: Ziegler-Nichols Tuning Rule Based on Critical Gain Ker and Critical Period Pr
Type of
Kp
Ti
Ta
Controller
P
0.5K cr
0
00
PI
0.45K CT
PID
0.6K CT
اركوندال کل (۱)
1
Per
1.2
0.5P cr
Page 1 of 2
ق طالع )
0
0.125P cr
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