FEL3500 Introduktion till modellreduktion 7,0 hp

There are nine lectures in the course:

Lecture1: Introduction, the model-order-reduction problem. Examples.

Lecture 2: Model truncation, singular perturbation.

Lecture 3: Linear systems: POD/PCA/SVD-based simplifiction.

Lecture 4:  Linear systems: Gramians and balanced realizations.

Lecture 5: Balanced truncation and weighted extensions.

Lecture 6: Applications; controller and nonlinear model reduction.

Lecture 7: Optimal model reduction: Hankel norm approximation .

Lecture 8:System identification and model reduction in H2-norm (guestlecture).

Lecture 9: Summary

After finishing the course, the student will

• be able to distinguish between hard and simple model reduction problems
• be able to apply standard model reduction techniques sush as POD/PCA/SVD to examples that are relevant to the student
• understand the interplay between cotrollability, observability and model reduction
• know the theory behind balanced truncation and Hankel norm approximation
• be able to reduce the order of linear feedback and feedforward controllers while taking the overall system performance into account.

This is a graduate level course, but last-year/ advanced undergraduate students may also be admitted.

in order to do well in the course, basic knowledge of state-space methods in systems and controls, linear algebra and some previous experience with Matlab programming is desirable.

När kurs inte längre ges har student möjlighet att examineras under ytterligare två läsår.

Examinator beslutar, baserat på rekommendation från KTH:s handläggare av stöd till studenter med funktionsnedsättning, om eventuell anpassad examination för studenter med dokumenterad, varaktig funktionsnedsättning.

Examinator får medge annan examinationsform vid omexamination av enstaka studenter.

To pass, the student needs to complete:

1. at least 75% of the turn-in problems.

2. a smaller project with an approved report.

3. a take-home exam.

Henrik Sandberg

• Vid grupparbete har alla i gruppen ansvar för gruppens arbete.
• Vid examination ska varje student ärligt redovisa hjälp som erhållits och källor som använts.
• Vid muntlig examination ska varje student kunna redogöra för hela uppgiften och hela lösningen.