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Gain Margin in Control Systems

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Questions and Answers

The ___ margin is defined as the angle of 180° minus the magnitude of the angle at which the value 1/2ẞA1½ is unity (0 dB).

phase

What is the relationship between phase margin and the angle at which |ẞA| is unity?

Phase margin is equal to the magnitude of the angle.

Phase margin is the angle of 180° minus the angle at |ẞA|. (correct)

Phase margin is unrelated to the angle at which |ẞA| is unity.

Phase margin is defined in terms of gain only.

Which of the following is true about phase margin?

It indicates the phase relationship in feedback systems. (correct)

It is always positive for stable systems. (correct)

It measures the gain of the system.

It is determined only at high frequencies.

In control systems, what does a phase margin of 0° signify?

The system is at the verge of instability. Signup and view all the answers

What is typically computed to find the phase margin in a feedback system?

The frequency response. Signup and view all the answers

How does increasing phase margin affect system response?

It generally enhances system stability. Signup and view all the answers

Study Notes

Phase Margin

Phase margin indicates system stability in control theory.
Calculated as 180° minus the angle at which the open loop gain |ẞA| equals unity (0 dB).
A positive phase margin suggests a stable system, while a negative margin indicates instability.
Provides a measure of the system's ability to tolerate variations in gain and phase without oscillating.
Important in designing feedback control systems to ensure desired performance.

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Description

This quiz tests your knowledge about gain margin, specifically the angle of 180° minus the magnitude at 0 dB. Understand the concepts of error, feedback, gain, and phase in control system analysis. Perfect for students and professionals in engineering and control theory.