1 / 21

Transforming C(s) into C(t): Negative Feedback Control with Proportional Only Controller

Transforming C(s) into C(t): Negative Feedback Control with Proportional Only Controller. Jigsaw Team Estrogen Stephanie Wilson Amanda Newman Jessica Raymond. (We Laplace Transforms). Goal: Advantages and disadvantages of different t 0 (dead time) values.

shilah
Télécharger la présentation

Transforming C(s) into C(t): Negative Feedback Control with Proportional Only Controller

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transforming C(s) into C(t):Negative Feedback Control with Proportional Only Controller Jigsaw Team Estrogen Stephanie Wilson Amanda Newman Jessica Raymond (We Laplace Transforms)

  2. Goal: Advantages and disadvantages of different t0 (dead time) values System: Any FOPDT system in a negative feedback loop with a Proportional-Only Controller

  3. From Block Diagram Algebra… Negative feedback control loop for FOPDT system with P-only controller CLTF:

  4. With Pade’s Approximation… Pade’s Approximation: CLTF:

  5. This Reduces to… CLTF: Therefore…

  6. Final Value Theorem In Laplace Domain 0 0 0

  7. Now for C(t)… First we must simplify the denominator… for partial fraction decomposition CE:

  8. Substitute for Easier Math… CE: m p q

  9. Now Complete the Square

  10. Simplify the last term Distribute the left side Factor the right

  11. Solve for C

  12. Solve for A

  13. Solve for B

  14. Substitute for m, p, q m p q

  15. Separate the terms

  16. Manipulate… to Fit Page 15 Formulas…

  17. Inverse LaPlace Transform

  18. Substitute A, B, C, m, p, q back into C(t)

  19. Final Value Theorem In Time Domain 0 0

  20. CONCLUSION • Disadvantages of Increased t0 • Increase in t0 results in a decrease in the ultimate 0 0gain of the loop (Kcu) • Poor performance • Limited values of stable operating gain Advantages of Increased t0 Reaches steady state faster Larger values of stable operating gain Bigger gain is better

More Related