Question

The Transfer Function of an L.T.I. system is  ___________

(a) the impulse response with 0 initial conditions

(b) the impulse response with some initial conditions

(c) the ramp response with 0 initial conditions

(d) the step response with 0 initial conditions

I got this question during an interview.

This interesting question is from Laplace Transform in section Control System Applications of MATLAB

Answer 1

Correct choice is (a) the impulse response with 0 initial conditions

Easiest explanation: The transfer function of the system is determined with 0 initial conditions. Since it’s the laplace transform of the impulse response, the impulse response should not have any initial conditions.