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Automatic Control Systems

Automatic Control Systems
Integral control action

Both (a) and (b)
Neither (a) nor (b)
May lead to oscillatory response
Removes offset

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Automatic Control Systems
A system is highly oscillatory if

Gain margin is close to 1
Gain margin is close to 1 or phase margin is zero
Gain margin is high and phase margin is 180°
Gain margin is high

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Automatic Control Systems
For type 1 system the velocity lag error is

Inversely proportional to gain constant
Directly proportional to gain constant
Inversely proportional to bandwidth of system
Independent of gain constant

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Automatic Control Systems
For any transfer function, the constant phase angle loci are

Either (a) or (b)
A family of circles
A family of straight lines
Neither (a) nor (b)

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Automatic Control Systems
The poles with greater displacement from the real axis correspond to

Lower frequencies of oscillations
Unbounded output
Stable response
Higher frequencies of oscillations

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Automatic Control Systems
M circles are symmetrical with respect to

M = 1 straight line and imaginary axis
M = 1 straight line and real axis
M = 1 straight line
Real and imaginary axis

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