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Control Systems Engineering, 3rd Edition by S. K. Bhattacharya

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7

Time Response Analysis

7.1  INTRODUCTION

Time response analysis is also called time domain analysis. Here, we study the response, i.e. the output as a function of time.

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.

The transient state of the system remains for a very short time while steady-state is that stage of the system as time t approaches infinity. A feedback control system has the inherent capabilities that its parameters can be adjusted to alter both its transient and steady-state behaviour. In order to ...

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