1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;2}$$ is excited with 10u(t). The time at which the output reaches 99% of its steady state value is
A
2.7 sec
B
2.5 sec
C
2.3 sec
D
2.1 sec
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
A second-order system has the transfer function $$\frac{C\left(s\right)}{R\left(s\right)}=\frac4{s^2+4s+4}$$. With r(t) as the unit-step function, the response c(t) of the system is represented by
A
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 1
B
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 2
C
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 3
D
GATE ECE 2003 Control Systems - Time Response Analysis Question 19 English Option 4
3
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a system is $$G\left(s\right)\;=\;\frac{100}{\left(s\;+\;1\right)\left(s\;+\;100\right)}$$.For a unit step input to the system the approximate settling time for 2% criterion is
A
100 sec
B
4 sec
C
1 sec
D
0.01 sec
4
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
If the closed-loop transfer function T(s) of a unity negative feedback system is given by $$$T\left(s\right)=\frac{a_{n-1}s+a_n}{s^n+a_1s^{n-1}+.....+a_{n-1}s+a_n}$$$ then the steady state error for a unit ramp input is
A
$$\frac{a_n}{a_{n-1}}$$
B
$$\frac{a_n}{a_{n-2}}$$
C
$$\frac{a_{n-2}}{a_{n-2}}$$
D
zero
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