1
GATE ECE 2017 Set 1
+2
-0.6
Which one of the following options correctly describes the locations of the roots of the equation s4 + s2 + 1 = 0 on the complex plane?
A
Four left half plane (LHP) roots
B
One right half plane (RHP) root, one LHP root and two roots on the imaginary axis
C
Two RHP roots and two LHP roots
D
All four roots are on the imaginary axis
2
GATE ECE 2017 Set 2
Numerical
+2
-0
A unity feedback control system is characterized by the open-loop transfer function $$G\left(s\right)\;=\;\frac{2\left(s+1\right)}{s^3+ks^2+2s+1}$$\$ The value of k for which the system oscillates at 2 rad/s is ________.
3
GATE ECE 2016 Set 3
+2
-0.6
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as The range of K for which the system is stable is
A
-2.0 < K < 0.5
B
0 < K < 0.5
C
0 < K < $$\infty$$
D
0.5 < K < $$\infty$$
4
GATE ECE 2016 Set 1
Numerical
+2
-0
The transfer function of a linear time invariant system is given by $$H\left(s\right)\;=\;2s^4\;-\;5s^3\;+\;5s\;-\;2$$. The number of zeros in the right half of the s-plane is __________.
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