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Mechanical Engineering QUESTION #2377
Question 1
For an integrating (I) control element with gain \(K_I\), the transfer function is:
  • \(Y(s) = K_I s\)
  • \(Y(s) = K_I / s\)✔️
  • \(Y(s) = K_I s^2\)
  • \(Y(s) = K_I\)
Correct Answer Explanation
An integrating element: \(\dot{x}_o(t)=K_I x_i(t)\), so \(sX_o(s)=K_I X_i(s)\), giving \(Y(s)=K_I/s\). Integration in time corresponds to division by \(s\) in the Laplace domain.