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Mechanical Engineering QUESTION #2383
Question 1
A necessary and sufficient condition for a linear feedback system to be stable is that:
  • All poles of the closed-loop transfer function have positive real parts
  • All poles of the closed-loop transfer function have negative real parts✔️
  • The gain \(K\) is greater than 1
  • The system has no zeros in the right-half s-plane
Correct Answer Explanation
Stability condition: all poles of the closed-loop transfer function must have negative real parts (lie in the left-half s-plane). If any pole has a positive real part, the response grows without bound (unstable).