TIME RESPONSE ANALYSIS

If the output of control system for an input varies with respect to time, then it is called the time response of the control system. The time response consists of two parts.

• Transient response
• Steady state response

The response of control system in time domain is shown in the following figure.

Here, both the transient and the steady states are indicated in the figure. The responses corresponding to these states are known as transient and steady state responses.

Mathematically, we can write the time response c(t) as

c(t)=ctr(t)+css(t)

Where,

• c_tr(t) is the transient response
• c_ss(t) is the steady state response