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Feedback

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

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  1. Feedback

  2. Feedback loop (CV changes input) + - E Controller Gc PlantGp SP MV (Manipulated Variable S SensorGs CV Controlled Variable

  3. The input of each block determines the output • CV = Gp(s)*MV PlantGp MV (Manipulated Variable CV Controlled Variable

  4. MV = Gc E E Controller Gc MV (Manipulated Variable

  5. Combine blocks • CV = Gp*Gc*E E Controller Gc PlantGp MV (Manipulated Variable CV Controlled Variable

  6. E = SP – S • S = Gs*CV or E = SP – Gs*CV + - E SP S SensorGs CV Controlled Variable

  7. 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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