1 / 35

Multivariable Control Systems ECSE 6460

Multivariable Control Systems ECSE 6460. Fall 2009 Lecture 15: 23 October 2009. State Space Plant Model. Given a 2 input - 2 output plant:. Coupled Plant. Control Problem. We want the outputs y1 and y2 to track two reference signals r1 and r2 simultaneously.

kyna
Download Presentation

Multivariable Control Systems ECSE 6460

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. Multivariable Control SystemsECSE 6460 Fall 2009 Lecture 15: 23 October 2009

  2. State Space Plant Model • Given a 2 input - 2 output plant:

  3. Coupled Plant

  4. Control Problem • We want the outputs y1 and y2 to track two reference signals r1 and r2 simultaneously. • Performance criteria for step reference response: • Overshoot less than 5% • Three scenarios for minimum rise time = [30, 3, 0.03] sec

  5. Geometric Input-Output Decoupling

  6. Geometric I/O Decoupling

  7. Geometric I/O Decoupling

  8. Geometric I/O Decoupling

  9. Controller Design + K(s) G + C - + F

  10. Performance (wc = 0.1)

  11. Performance (wc = 1 )

  12. Performance (wc = 100)

  13. Relative Gain Array (RGA) Analysis

  14. RGA computation

  15. Diagonal vs off-diagonal pairing

  16. RGA Number

  17. Decentralized Control (Diagonal Pairing)

  18. Independent Design • Idea: Design a diagonal controller while disregarding the coupling between the two I/O pairs. + C K(s) -

  19. Independent Design

  20. Performance (wc = 0.1)

  21. Performance (wc = 0.1)

  22. Performance (wc = 0.1)

  23. Increase wc to 0.2

  24. Performance (wc = 1)

  25. Performance (wc = 1)

  26. Performance (wc = 1)

  27. Increase wc to 2.5

  28. Performance (wc = 100)

  29. Performance (wc = 100)

  30. Performance (wc = 100)

  31. Decentralized Control (Off-Diagonal Pairing)

  32. Independent Design Not proper!

  33. Performance (wc = 0.2)

  34. Sinusoidal tracking (wr = 1000)

  35. Sinusoidal tracking (wr = 1000)

More Related