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Mechanical Engineering QUESTION #2375
Question 1
The transfer function \(Y(s)\) of a linear control system is defined as:
  • The ratio of the output signal to the input signal in the time domain
  • The ratio of the Laplace transform of the output \(X_o(s)\) to the Laplace transform of the input \(X_i(s)\), with all initial conditions equal to zero✔️
  • The differential equation describing the system
  • The frequency response of the system
Correct Answer Explanation
The transfer function: \(Y(s) = X_o(s)/X_i(s)\) with zero initial conditions. It is defined only for linear, constant-parameter systems. It relates input and output in the Laplace (s) domain.