92990 - System Theory and Advanced Control M

Course Unit Page

Academic Year 2021/2022

Learning outcomes

The course will provide students with the fundamental tools for the analysis and control of multivariable dynamic systems and their structural properties. Basic tools of system theory will be introduced, such as possible representation of dynamic linear systems, structural properties (stability, observability, controllability), special normal forms, Kalman decomposition, and others. The course will also address some aspects of modern multivariable control schemes starting from optimal control (in the deterministic setting), adaptive and robust control, also presenting basic aspects of nonlinear control systems. At the end of the course students master all the basic principles of system theory by studying in a systematic way properties of multivariable dynamic systems, and have a good knowledge of modern control tools for multivariable systems.

Course contents

- Dynamic systems representation
- Stability of linear systems
- Reachability and controllability
- Observability and reconstructability
- Robust and Adaptive Control

Readings/Bibliography

H. Khalil, "Nonlinear Systems'', Prentice Hall

A. Isidori, "Non-linear Control Systems", Springer Verlag

G. Strang, "Linear Algebra and its Applications'', Thomson

Teaching methods

Black board
Matlab/Simulink sessions with the laptop in class

Assessment methods

Oral examination

Teaching tools

Notes on some topics not covered by the bibliography
Matlab-Simulink script

Office hours

See the website of Lorenzo Marconi