1
GATE EE 2025
Numerical
+2
-0
A controller $D(s)$ of the form $\left(1+K_D s\right)$ is to be designed for the plant $G(s)=\frac{1000 \sqrt{2}}{s(s+10)^2}$ as shown in the figure. The value of $K_D$ that yields a phase margin of $45^{\circ}$ at the gain cross-over frequency of $10 \mathrm{rad} / \mathrm{sec}$ is _________(round off to one decimal place). GATE EE 2025 Control Systems - Controller and Compensator Question 1 English
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2
GATE EE 2012
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s + a} \over {s + b}}$$

$${G_c}\left( s \right)$$ is a lead compensator if

A
$$a = 1,b = 2$$
B
$$a = 3,b = 2$$
C
$$a = -3,b = -1$$
D
$$a = 3,b = 1$$
3
GATE EE 2012
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a compensator is given as $${G_c}\left( s \right) = {{s + a} \over {s + b}}$$

The phase of the above lead compensator is maximum at

A
$$\sqrt 2 \,rad/s$$
B
$$\sqrt 3 \,rad/s$$
C
$$\sqrt 6 \,rad/s$$
D
$$1/$$ $$\sqrt 3 \,rad/s$$
4
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of two compensators are given below: $${C_1} = {{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)}},\,{C_2} = {{s + 10} \over {10\left( {s + 1} \right)}}$$

Which one of the following statements is correct?

A
$${C_1}$$ is lead compensator and $${C_2}$$ is a lag compensator
B
$${C_1}$$ is a lag compensator and $${C_2}$$ is a lead compensator
C
Both $${C_1}$$ and $${C_2}$$ are lead compensator
D
Both $${C_1}$$ and $${C_2}$$ are lag compensator
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