EL2820 Modelling of Dynamical Systems 7.5 credits

Modellering av dynamiska system

The course teaches systematic method for building mathematical models of technical systems from basic physical relations and measured data.

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Offering and execution

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Course information

Content and learning outcomes

Course contents *

Types of models, physics/ mechanics/ electronics- overview, model simplifications, object oriented modelling, disturbance and disturbance models, parameter estimation, system identification for modelling.

Intended learning outcomes *

After completed course the student should be able to derive mathematical models for technical systems based on fundamental physical relations and based on measurement data.

In particular, after completing the course the student should be able to:

- Derive mathematical models of technical systems based on fundamental physical relations.

- Employ systematic and object- oriented based modelling tools to develop models of systems with subparts from different physical domains.

- Describe how differential-algebraic equations (DAEs) arise in modelling of technical systems.

- Estimate impulse and frequency responses as well as transfer- functions for linear systems based on measured input and output data.

- Analyze the statistical properties of basic estimation methods, and explain the practical consequences of these results.

- Choose appropriate experimental conditions to collect data for system identification.

- Use the most common methods for model validation against experimental data.

Course Disposition

Lectures, Exercises, Labs

LAB1 - Laboratory Work, 0.5, grade scale: P, F

LAB2 - Laboratory Work, 0.5, grade scale: P, F

LAB3 - Laboratory Work, 2, grade scale: P, F

TEN1 - Examination, 4.5, grade scale: A, B, C, D, E, FX, F

Literature and preparations

Specific prerequisites *

Basic eligibility.

Recommended prerequisites

Elementary physics and mathematical statistics, basic course or equivalent

Recommended prerequisites

Elementary physics and mathematical statistics, basic course or equivalent. Basic control course, EL1000 or equivalent.

Equipment

No information inserted

Literature

For the course literature and lecture notes, refer to the course homepage

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • LAB1 - Lab 1, 0.5 credits, Grading scale: P, F
  • LAB2 - Lab 2, 0.5 credits, Grading scale: P, F
  • LAB3 - Lab 3, 2.0 credits, Grading scale: P, F
  • TEN1 - Exam, 4.5 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade *

TEN 4.5 hp, LAB1 0.5 hp, LAB2 0.5 hp, LAB3 2 hp

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Cristian Rojas

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EL2820

Offered by

EECS/Intelligent Systems

Main field of study *

Electrical Engineering

Education cycle *

Second cycle

Add-on studies

No information inserted

Contact

Cristian Rojas (crro@kth.se)

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Supplementary information

In this course, the EECS code of honor applies, see:
http://www.kth.se/en/eecs/utbildning/hederskodex.