1
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. GATE ECE 2009 Control Systems - Frequency Response Analysis Question 31 English 1 GATE ECE 2009 Control Systems - Frequency Response Analysis Question 31 English 2 Which of the foloowing statements is true?
A
G(s) is is an all-pass filter.
B
G(s) has a zero in the right-half of S-plane.
C
G(s) is the impedance of a passive network.
D
G(s) is marginally stable.
2
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. GATE ECE 2009 Control Systems - Frequency Response Analysis Question 30 English 1 GATE ECE 2009 Control Systems - Frequency Response Analysis Question 30 English 2 The gain and phase margins of G(s) for closed loop stability are
A
6 dB and $$180^\circ $$
B
3 dB and $$180^\circ $$
C
6 dB and $$90^\circ $$
D
3 dB and $$90^\circ $$
3
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
The magnitude plot of a rational transfer function G(s), with real coefficient is shown in figure. Which of the following compensators has such a magnitude plot? GATE ECE 2009 Control Systems - Compensators Question 19 English
A
Lead compensator
B
Lag compensator
C
PID controller
D
Lea-lag compensator
4
GATE ECE 2009
MCQ (More than One Correct Answer)
+1
-0.3
Consider the system $${{dx} \over {dt}} = Ax + Bu$$ with $${\rm A} = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right]\,\,\,and\,\,\,{\rm B} = \left[ {\matrix{ p \cr q \cr } } \right],$$

where p and q are arbitrary real numbers. Which of the following statesments about the controllability of the system is true?

A
The system is completely state controllable for any nonzero values of p and q.
B
Only p =0 and q=0 result in controllability.
C
The system is uncontrollable for all values of p and q.
D
We cannot conclude about controllability from the given data.
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