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GATE EC 2021: Control Systems Quiz 8 (App update required to attempt this test)
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Question 1
A second order process having transfer function G(s) =
is cascaded with a standard PD controller in unity feedback configuration. If the closed loop system have velocity error constant KV = 300 and damping ratio ζ = 0.6, then the value of controller gain (kP) is
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804525733746.png)
Question 2
The transfer function of a lag compensator is given as, G(s)=k
If this lag compensator is designed by the RC circuit shown below, then the value of α will be
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804519292760.png)
If this lag compensator is designed by the RC circuit shown below, then the value of α will be
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804520105639.jpg)
Question 3
The lead compensator has pole at s= -4 and a zero at s= -2. Then the maximum phase lead
m and the corresponding frequency
m is
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804503168125.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804503881649.png)
Question 4
The transfer function of a PID controller is given by G(s) = 10[1+
+2s] as ω tends to zero
![](https://gradeup-question-images.grdp.co/liveData/PROJ22472/1540804527220636.png)
Question 5
A lead compensator network includes a parallel combination of R and C in the feed-forward path. If the transfer function of the compensator is
, the value of RC is _________.
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image253.png](https://gs-question-images.grdp.co/1458123762053221.png)
Question 6
The transfer function of a compensator is (s+4)/(s+16). The maximum phase lead frequency and the corresponding phase is
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