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Feedback. Feedback loop (CV changes input). + -. E. Controller Gc. Plant Gp. SP. MV (Manipulated Variable. S. Sensor Gs. CV Controlled Variable. The input of each block determines the output. CV = Gp (s)*MV. Plant Gp. MV

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Feedback loop cv changes input
Feedback loop (CV changes input)

+

-

E

Controller Gc

PlantGp

SP

MV

(Manipulated Variable

S

SensorGs

CV

Controlled Variable


The input of each block determines the output
The input of each block determines the output

  • CV = Gp(s)*MV

PlantGp

MV

(Manipulated Variable

CV

Controlled Variable


E

Controller Gc

MV

(Manipulated Variable


Combine blocks
Combine blocks

  • CV = Gp*Gc*E

E

Controller Gc

PlantGp

MV

(Manipulated Variable

CV

Controlled Variable


+

-

E

SP

S

SensorGs

CV

Controlled Variable


Do the math to get the closed loop transfer function
Do the math to get the “closed loop” transfer function

  • CV = Gp*Gc*E

  • E = SP – Gs*CV

  • CV = Gp*Gc*(SP – Gs*CV)

  • Solve for CV


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