1
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is a first-order pole-only approximation such that the steady-state values of the unit step responses of the original and the approximated systems are same?

GATE EE 2024 Control Systems - Time Response Analysis Question 1 English
A

$\frac{1}{s + 1}$

B

$\frac{2}{s + 1}$

C

$\frac{1}{s + 20}$

D

$\frac{2}{s + 20}$

2
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $${{C\left( s \right)} \over {R\left( s \right)}} = {{Ks + b} \over {{s^2} + as + b}},\,\left( {a > 0,\,b > 0,\,K > 0} \right),$$ the steady state error will be
A
$$0$$
B
$${a \over b}$$
C
$${{a + K} \over b}$$
D
$${{a - K} \over b}$$
3
GATE EE 2014 Set 2
Numerical
+1
-0
The closed-loop transfer function of a system is $$T\left( s \right) = {4 \over {\left( {{s^2} + 0.4s + 4} \right)}}.$$ The steady state error due to unit step input is ________
Your input ____
4
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the same system, for a pulse input $$r(t)$$ having a magnitude of $$10$$ and a duration of one second, as shown in the figure is GATE EE 2011 Control Systems - Time Response Analysis Question 28 English
A
$$0$$
B
$$0.1$$
C
$$1$$
D
$$10$$
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