1
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
The phase margin of a system with the open-loop transfer function G(s)H(s)=$${{(1 - s)} \over {(1 + s)(2 + s)}}$$ is?
A
$$0^\circ $$
B
$$63.4^\circ $$
C
$$90^\circ $$
D
$$\infty $$
2
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The system with the open loop transfer function G(s)H(s)=$${1 \over {s\left( {{s^2} + s + 1} \right)}},$$ has a gain margin of
A
-6 dB
B
0 dB
C
3.5 dB
D
6 dB
3
GATE ECE 2002
Subjective
+5
-0
The Nyquist plot of an all-pole second order open-loop system is shown in Figure. Obtain the transfer function of the system. GATE ECE 2002 Control Systems - Frequency Response Analysis Question 8 English
4
GATE ECE 2002
Subjective
+5
-0
A unity feedback system has the plant transfer function Gp(s)=$${1 \over {\left( {s + 1} \right)\left( {2s + 1} \right)}}$$
(a) Determine the frequency at which the plant has a phase lah of 90o.
(b) An intergral controller with transfer function Gc(s)=$${k \over s}$$ , isplaced in the forwardpath the value of k such that the compensated system has an open loop gain margin of 2.5.
(c) Determine the steady state errors of the compensated system to unit-step and unit-ramp inputs.
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