3.1 Introduction Since time is used as an independent variable in most control systems, it is usually of interest to evaluate the time response of the systems In the analysis problem, a reference input signal is applied to a system and the performance of the system is evaluated by studying the response in the time domain The time response of a control system is usually divided into two parts: The transient response and the steady-state response, if c(t) denotes a time response, then, in general, it may be written C(t=c (t+css(t) Where c, (t=transient response 2022-2-32022-2-3 2 3.1 Introduction Since time is used as an independent variable in most control systems ,it is usually of interest to evaluate the time response of the systems .In the analysis problem ,a reference input signal is applied to a system ,and the performance of the system is evaluated by studying the response in the time domain.The time response of a control system is usually divided into two parts: The transient response and the steady-state response ,if c(t) denotes a time response ,then ,in general ,it may be written C(t)=ct(t)+css(t) Where ct(t)=transient response