1
GATE ECE 2014 Set 1
Numerical
+2
-0
A fair coin is tossed repeatedly until a 'Head' appears for the first time. Let L be the number of tosses to get this first 'Head'. The entropy H (L) in bits is _______________.
Your input ____
2
GATE ECE 2014 Set 1
Numerical
+1
-0
The forward path transfer function of a unity negative feedback system is given by $$$G\left(s\right)\;=\;\frac k{\left(s\;+\;2\right)\left(s\;-\;1\right)}$$$ The value of K which will place both the poles of the closed-loop system at the same location, is ______.
Your input ____
3
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For the following feedback system $$G\left(s\right)=\frac1{\left(s+1\right)\left(s+2\right)}$$.The 2% settling time of the step response is required to be less than 2 seconds. GATE ECE 2014 Set 1 Control Systems - Time Response Analysis Question 9 EnglishWhich one of the following compensators C(s) achieves this?
A
$$3\left(\frac1{s+5}\right)$$
B
$$5\left(\frac{0.03}s+1\right)$$
C
2(s+4)
D
$$4\left(\frac{s+8}{s+3}\right)$$
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown. Which one of the following conclusions is correct? GATE ECE 2014 Set 1 Control Systems - Frequency Response Analysis Question 50 English 1 GATE ECE 2014 Set 1 Control Systems - Frequency Response Analysis Question 50 English 2
A
G(s) is an all-pass filter.
B
G(s) is a strictly proper transfer function.
C
G(s) is a stable and minimum-phase transfer function.
D
The closed-loop system is unstable for sufficiently large and positive k.
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