Question:
Phase margin of a system is used to specify which of the following?
Phase margin of a system is used to specify which of the following?
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Routh-Hurwitz criterion determines absolute stability.
Bode plots, Nyquist plots, Gain Margin, and Phase Margin determine relative stability.
Bode plots, Nyquist plots, Gain Margin, and Phase Margin determine relative stability.
Updated On: Jul 6, 2026
- Frequency response
- Absolute stability
- Relative stability
- Time response
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Question:
The question asks about the primary purpose of specifying the phase margin in control systems.
Step 2: Key Formula or Approach:
- Absolute stability tells us whether a system is stable or unstable (yes/no answer).
- Relative stability tells us how close a stable system is to becoming unstable.
Step 3: Detailed Explanation:
• Stability margins, such as Phase Margin (PM) and Gain Margin (GM), quantify the safety margin of a stable system against parameter variations.
• A higher phase margin indicates a more stable system with less oscillation (better relative stability).
• Therefore, these margins are measures of relative stability rather than absolute stability.
Step 4: Final Answer:
The phase margin is used to specify relative stability, which corresponds to Option (C).
The question asks about the primary purpose of specifying the phase margin in control systems.
Step 2: Key Formula or Approach:
- Absolute stability tells us whether a system is stable or unstable (yes/no answer).
- Relative stability tells us how close a stable system is to becoming unstable.
Step 3: Detailed Explanation:
• Stability margins, such as Phase Margin (PM) and Gain Margin (GM), quantify the safety margin of a stable system against parameter variations.
• A higher phase margin indicates a more stable system with less oscillation (better relative stability).
• Therefore, these margins are measures of relative stability rather than absolute stability.
Step 4: Final Answer:
The phase margin is used to specify relative stability, which corresponds to Option (C).
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