1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A linear time invariant (LTI) system with the transfer function
$$$G\left(s\right)=\frac{K\left(s^2+2s+2\right)}{s^2-3s+2}$$$
is connected in unity feedback configuration as shown in the figure.
![GATE ECE 2017 Set 1 Control Systems - Root Locus Diagram Question 8 English](https://gateclass.cdn.examgoal.net/examside/questions/37a339a1da9bc91329ae6ca0b1fe8137c24f120a880de03224c370fb4133ab50.jpg)
For the closed loop system shown, the root locus for 0 < K < $$\infty$$ intersects the imaginary axis for K = 1.5. The closed loop system is stable for
2
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a stable system with transfer function
$$$G\left(s\right)=\frac{s^p+b_1s^{p-1}+....+b_p}{s^q+a_1s^{q-1}+....+a_q}$$$
Where $$b_1,.......,b_p$$
and $$a_1,.......,a_q$$
are real valued constants. The slope of the Bode log magnitude
curve of G(s) converges to
-60 dB/decade as $$\omega\rightarrow\infty$$ .
A possible pair of values for p and q is
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of the transfer function
$$G(s) = {k \over {\left( {{s^2} + 2s + 2} \right)\left( {s + 2} \right)}}$$
does not encircle the point (-1+j0) for K = 10 but does encircle the point (-1+j0) for K = 100. Then the closed loop system (having unity gain feedback) is
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
Paper analysis
Total Questions
Analog Circuits
5
Communications
5
Control Systems
6
Digital Circuits
5
Electromagnetics
5
Electronic Devices and VLSI
4
Engineering Mathematics
10
Microprocessors
2
Network Theory
3
Signals and Systems
7
General Aptitude
10
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