1
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The open-loop transfer function of a plant is given as $$G(s) = {1 \over {{s^2} - 1}}.$$ If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is
A
$${{10\left( {s - 1} \right)} \over {s + 2}}$$
B
$${{10\left( {s + 4} \right)} \over {s + 2}}$$
C
$${{10\left( {s + 2} \right)} \over {s + 10}}$$
D
$${{2\left( {s + 2} \right)} \over {s + 10}}$$
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\zeta = 0.5$$ and an undamped natural frequency, $${\omega _n} = 5$$ rad/sec. Which one of the following compensator $${G_c}(s)$$ will be suitable?
A
$${{s + 3} \over {s + 9.9}}$$
B
$${{s + 9.9} \over {s + 3}}$$
C
$${{s - 6} \over {s + 8.33}}$$
D
$${{s + 6} \over s}$$
3
GATE ECE 1992
MCQ (Single Correct Answer)
+2
-0.6
A process with open-loop model $$G(s) = {{K{e^{ - s{\tau _d}}}} \over {\tau s + 1}},$$ is controlled by a PID controller. For this process
A
the integral mode improves transient performance
B
the integral mode improves steady state performance
C
the derivative mode improves transient performance
D
the derivative mode improves steady state performance
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a simple RC network functioning as a controller is: $${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$

The condition for the RC network to act as a phase lead controller is:

A
$${p_1} < {z_1}$$
B
$${p_1} = 0$$
C
$${p_1} = {z_1}$$
D
$${p_1} > {z_1}$$
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