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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

The lecture notes will be selled in the first lecture at cost. The lecture notes are also available in our office at Mrs. Fischer (S3|10/512) or at Mr. Hoedt (S3|10/519) .

Exam

The exam in the summer term will be oral on 28th Jul, 2011 between 8:00 and 18:00 o'clock. Please make a mandatory appointment at Mrs. Fischer in Room S3|10 512.

Schedule (in the winter terms)

• Lecture: Monday, 09:50 – 11:30 , RoomS3|06/052
• Exercise : Monday, 11:40 – 13:20 , Room S3|06/021(generally)