A system with gain margin close to unity or a phase margin close to zero isSelect one:a. oscillatoryb. unstablec.highly stabled. relatively stable
Question
A system with gain margin close to unity or a phase margin close to zero is
Select one:
- a. oscillatory
- b. unstable
- c. highly stable
- d. relatively stable
Solution
Analyzing the Options
-
Gain Margin Close to Unity: A gain margin close to unity indicates that the system can easily become unstable if the gain increases slightly. This means that the system is likely to oscillate when subjected to disturbances.
-
Phase Margin Close to Zero: A phase margin close to zero suggests that the system's phase response is nearly at the point of instability (i.e., it's very close to oscillating). This also indicates a propensity for oscillatory behavior.
Conclusion
Given that both gain margin close to unity and phase margin close to zero indicate that the system is on the verge of instability and can result in oscillations, the most appropriate answer among the options provided is:
Final Answer
a. oscillatory
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