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Digital Control Systems

Digital Control Systems. Joel Klooster ENGR 315 Dec 5, 2001. Continuous vs. Discrete Time. Improved sensitivity Use digital components Control algorithms easily modified Many systems inherently digital. Develop complex math algorithms Lose information during conversions.

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Digital Control Systems

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  1. Digital Control Systems Joel Klooster ENGR 315 Dec 5, 2001

  2. Continuous vs. Discrete Time

  3. Improved sensitivity Use digital components Control algorithms easily modified Many systems inherently digital Develop complex math algorithms Lose information during conversions Advantages Disadvantages

  4. Digital Control Systems:Zero-Order Hold

  5. Digital Control Systems:Zero-Order Hold (cont)

  6. Digital Control Systems:The z-transform Def’n of z-Transform: Relationship b/w s-plane and z-plane:

  7. Digital Control Systems:The z-transform (cont) Several common z-Transforms

  8. Digital Control Systems:Stability in s-plane Region of Stability: Left-Hand Plane

  9. Digital Control Systems:Stability in z-plane Region of Stability: Unit-Circle

  10. Digital Control Systems:Root-Locus

  11. Digital Control Systems:Root-Locus (cont)

  12. Digital Control Systems:MATLAB to the rescue • c2d • conversion of continuous-time models to discrete time • zgrid • generate z-plane grid lines for a root locus or pole-zero map over an existing map • dstep • Step response of discrete time system • stairs • Connects the elements from dstep to form stairstep graph

  13. Digital Control Systems:Design Example Root Locus Design for Digital DC Motor Position Control

  14. Digital Control Systems:Design Example

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