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