1
GATE ECE 2014 Set 4
Numerical
+2
-0
Consider a transfer function $$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\left(3+p\right)s\;+\left(2-p\right)}$$ with 'p' a positive real parameter. The maximum value of 'p' until which Gp remains stable is ________.
2
GATE ECE 2012
+2
-0.6
The feedback system shown below oscillates at 2 rad/s when
A
K = 2 and a = 0.75
B
K = 3 and a = 0.75
C
K = 4 and a = 0.5
D
K = 2 and a = 0.5
3
GATE ECE 2008
+2
-0.6
The number of open right half plane poles of $$G\left(s\right)\;=\;\frac{10}{s^5\;+2s^4\;+3s^3\;+6s^2\;+5s\;+3}\;is$$\$
A
$$0$$
B
1
C
2
D
3
4
GATE ECE 2008
+2
-0.6
A certain system has transfer function $$G\left(s\right)=\frac{s+8}{s^2+\alpha s-4}$$, where $$\alpha$$ is a parameter. Consider the standard negative unity feedback configuration as shown below Which of the following statements is true?
A
The closed loop system is never stable for any value of $$\alpha$$
B
For some positive values of $$\alpha$$, the closed loop system is stable, but not for all positive values
C
For all positive values of $$\alpha$$, the closed loop system is stable
D
The closed loop system is stable for all values of $$\alpha$$, both positive and negative
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