Article | REF: R7416 V1

Analog and digital PID controllers

Authors: Alina BESANÇON-VODA, Sylviane GENTIL

Publication date: March 10, 1999

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1. Notations and structure of the PID controller

1.1 Notations and definitions

The structure of the control system is shown in figure 1 : the transfer function of the controller is denoted C (s ) and that of the process G (s ), where s is the Laplace variable. The transfer function of the compensated open loop is therefore :

H BO (s ) = C (s ) G (s )

and that of the closed loop :

HBF(s)=HBO(s)1+HBO(s)

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Notations and structure of the PID controller
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