1
GATE ECE 2003
+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
B
C
D
2
GATE ECE 2002
+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
3
GATE ECE 1999
+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
4
GATE ECE 1998
+2
-0.6
The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of the system ot an excitation e-at u(t), a > 0 will be
A
ae-at
B
(1/a)(1 - e-at)
C
a(1 - e-at)
D
1 - e-at
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