Response of the First Order System

Consider the following block diagram of the closed loop control system. Here, an open loop transfer function is connected with a unity negative feedback.

We know that the transfer function of the closed loop control system has unity negative feedback as,

 

 we have seen the standard test signals like impulse, step, ramp and parabolic. Let us now find out the responses of the first order system for each input, one by one. The name of the response is given as per the name of the input signal. For example, the response of the system for an impulse input is called as impulse response.

Impulse Response of First Order System

Consider the unit impulse signal as an input to the first order system