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ESE 601: Hybrid Systems

ESE 601: Hybrid Systems. Review materials on continuous systems II. Contents. Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement. Reachability. Reachability of linear systems. Controllability. ?. Controllability.

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ESE 601: Hybrid Systems

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  1. ESE 601: Hybrid Systems Review materials on continuous systems II

  2. Contents • Controllability • Observability • Invariant subspace • Controller design: controlled invariance • Controller design: pole placement

  3. Reachability

  4. Reachability of linear systems

  5. Controllability

  6. ? Controllability

  7. Controllability

  8. Controllability the inverse exists because of controllability

  9. Controllable subspace

  10. Controllable subspace

  11. Contents • Controllability • Observability • Invariant subspace • Controller design: controlled invariance • Controller design: pole placement

  12. Observability

  13. Observability

  14. Observability

  15. Observability

  16. Observable subspace

  17. Observable subspace

  18. Contents • Controllability • Observability • Invariant subspace • Controller design: controlled invariance • Controller design: pole placement

  19. Invariant subspace

  20. Invariant subspace

  21. Contents • Controllability • Observability • Invariant subspace • Controller design: controlled invariance • Controller design: pole placement

  22. Controlled invariance

  23. Controlled invariance Geometric interpretation

  24. Controlled invariance

  25. Controlled invariance

  26. Controlled invariance

  27. Contents • Controllability • Observability • Invariant subspace • Controller design: controlled invariance • Controller design: pole placement

  28. Pole placement

  29. Pole placement SYSTEM Feedback controller

  30. Pole placement

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