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