1
GATE ECE 2012
+2
-0.6
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {s + b}}.$$

$${G_C}(s)$$ 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
2
GATE ECE 2012
+2
-0.6
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {s + b}}.$$

The phase of the above lead compensator is maximum at

A
$$\sqrt 2$$ rad/sec
B
$$\sqrt 3$$ rad/sec
C
$$\sqrt 6$$ rad/sec
D
$$1/\sqrt 3$$ rad/sec
3
GATE ECE 2010
+2
-0.6
A unity negative feedback closed loop system has a plant with the transfer function $$G(s) = {1 \over {{s^2} + 2s + 2}}$$ and a controller $${G_c}(s)$$ in the feed forward path. For a unit set input, the transfer function of the controller that gives minimum steady sate error is
A
$${G_C}\left( s \right) = {{s + 1} \over {s + 2}}$$
B
$${G_C}\left( s \right) = {{s + 2} \over {s + 1}}$$
C
$${G_C}\left( s \right) = {{\left( {s + 1} \right)\left( {s + 4} \right)} \over {\left( {s + 2} \right)\left( {s + 3} \right)}}$$
D
$${G_C}\left( s \right) = 1 + {2 \over s} + {3_s}$$
4
GATE ECE 2008
+2
-0.6
Group I gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfy the condition $${R_2}{C_2} > {R_1}{C_{1.}}$$ The transfer $${\textstyle{{{V_0}} \over {{V_1}}}}$$ function represents a kind of controller. Match the impedances in Group I with the types of controllers in Group II. Group - I

Group - II
1. PID controller
3. Lag compensator

A
Q - 1, R - 2
B
Q - 1, R - 3
C
Q - 2, R - 3
D
Q - 3, R - 2
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