Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

For a factor in the transfer function, the log magnitude plot
A:
is a straight line with slope 0 dB/decade
B:
is a straight line with slope 20 dB/decade
C:
is a straight line with slope - 20 dB/decade
D:
is a straight line with slope - 40 dB/decade
Answer: D

jω term in denominator gives a straight line with a slope of - 20 dB/decade and gives a straight line with a slope of - 40 dB/decade.

For a second order system, the position of poles is in the shaded region shown in the given figure. The variation in damping factor is
A:
from 0 to 1
B:
from about 0.3 to 0.7
C:
from 1 to 5
D:
from 0 to 3
Answer: B

Variation in damping factor is small.

For the second order system having following differential equation

(When θ0 and θi are output and input) the natural frequency is
A:
B:
C:
KJ
D:
Answer: A

Compare with standard form.

A system with transfer function

may be approximated by the system
A:
B:
C:
D:
Answer: A

Coefficient (s + 15) gives the term e-15t and the coefficient (s + 20) gives the term e-20t.

These can be neglected as compared to terms corresponding to s and (s + 1).

If phase angle of open loop transfer function becomes - 180° at frequency ω1, then gain margin is equal to
A:
|G(jω1)|
B:
C:
1 + |G(jω1)|
D:
Answer: B

If gain is a, gain margin is . In this case gain is |G(jω1)|.

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