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Control Systems Engineering, Second Edition by S. K. Bhattacharya

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7

Time Response Analysis

7.1 INTRODUCTION

Total time response c(t) of a control system consists of transient response (dynamic response) ct(t) and steady state response css (t).

 

 

c(t) = ct(t) + css(t)

where

c(t) = total time response

 

ct(t) = transient response

 

css(t) = steady-state response.

A transient state of the system remains for short time while steady-state is that stage of the system as time t approaches infinity. A feedback control system has the inherent capability that its parameters can be adjusted to alter both its transient and steady-state behaviour. In order to analyse the transient and steady-state behaviour of control systems, we obtain a mathematical model of the system. For any specific input signal, a ...

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