Module 4 : Feedback controller

Lecture 3 : Transmission Lines

If we assume that the transmission line does not affect the signal flow, dynamics of the transmission lines can be completely ignored. Hence the following sub-processes will constitute the overall dynamics of the process:

Process

(IV.11a)

Measurement

(IV.11b)

Controller

(IV.11c)

 

(IV.11d)

Final Control Element

(IV.11e)

Hence using eqs. (IV.11 b-e) on eq. (IV.11a), following algebraic manipulation will be useful.

(IV.12)

Rearranging the above we obtain,

(IV.13)

The eq. (IV.13) represents the closed loop response of the process. The pictorial representation is given in the Fig IV.6

Fig. IV.6: Simplified block diagram of feedback control loop of a chemical process