Question

What does the following relate to?

(a) Step response implies integrating the transfer function

(b) Impulse response shows the delay in the above block diagram

(c) Nothing is observed

(d) The integration of impulse is a ramp function

This question was posed to me by my school principal while I was bunking the class.

My question is from Impulse Response topic in portion Control System Applications of MATLAB

Answer 1

Correct choice is (a) Step response implies integrating the transfer function

The best I can explain: The above block diagram depicts that the impulse response of the integrator is a step function. This means that an integrator can be viewed as performing convolution of a step function and the input. Now if we imagine a system which has the same transfer function as the lapalce transform of the previous input, and we give a step input to it- it will perform convolution of the step function an the system transfer function. Thus we find that the result, due to associative property of convolution, is same and we can represent that the step response of system truly implies integrating the transfer function of the system in the output.