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Controller Design for Multivariable Systems in State Space

News

  • 2016/07/25

    Prüfung „Mehrgrößenreglerentwurf im Zustandsraum“

    Im Sommersemester 2016 erfolgt die Prüfung mündlich. Die mündliche Prüfung kann entweder am 11.08.2016 oder am 07.10.2016 abgelegt werden. Bitte tragt euch frühzeitig in die Prüfungsliste ein, die in unserem Sekretariat (S3|10 505) ausliegt.

Content of the lecture

  1. Introduction
  2. Characterization of Multivariable Systems
    • State Space Representation of Llinear Time-Invariant Systems
    • Solution of the State Equation
    • Controllability and Observability
    • Analysis of the Input-Output Behavior
  3. Controler Design via Pole Assignment
    • Derivation of equations for Pole Assignment
    • Pole Assignment for Single-Input Systems
    • Pole Assignment for Multivariable Systems
      • Pole Assignment via “Vollständige Modale Synthese”
      • Meaning and Properties of “Control Vectors”
  4. Controller Design via Decoupling and Coupling
    • Decoupling Control
      • according to Falb-Wolovich
      • with “Vollständige Modale Sysnthese”
    • Coupling Control
  5. Controller Design via Optimization
    • Definitions and Problem
    • Solution of the Optimization Problem
    • Linear Quadratic Optimal Control
  6. State Estimation with Observers
  7. Dynamic State Feedback
    • General Dynamic Output Feedbacks
    • PI Control in State Space
    • Design of Dynamic Output Feedbacks
  8. Controller Design with structural limitations
  9. Controller Design considering Reference Models and Disturbances
    • Consideration of Disturbances
    • Reference and Disturbance models
    • Tracking and Disturbance Rejection
    • Disturbance Observers

Schedule (in the winter terms)

  • Lecture:
    • Monday, 09:50 – 11:30
    • Room S3|06 / 052
  • Exercise:
    • Monday, 11:40 – 13:20
    • Room S3|06 / 052