1
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{\left(s+1\right)^4}$$$
A
s1 is on the root locus, but not s2
B
s2 is on the root locus, but not s1
C
both s1 and s2 are on the root locus
D
neither s1 nor s2 is on the root locus
2
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
For a second-order system with the closed-loop transfer function $$$T\left(s\right)=\frac9{s^2+4s+9}$$$ the settling time for 2% band in seconds is
A
1.5
B
2.0
C
3.0
D
4.0
3
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
4
GATE ECE 1999
Subjective
+5
-0
The loop transfer function of a feedback control system is given by $$$G\left(s\right)H\left(s\right)=\frac{K\left(s+1\right)}{s\left(1+Ts\right)\left(1+2s\right)},\;K>0$$$ Using Routh-Hurwitz criterion, determine the region of K-T plane in which the closed-loop system is stable.
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