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.

  • Education cycle

    Second cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

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

Course offerings

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 main content

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

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

Eligibility

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.

Literature

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

Examination

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

Requirements for final grade

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

Offered by

EECS/Intelligent Systems

Contact

Cristian Rojas (crro@kth.se)

Examiner

Cristian Rojas <crro@kth.se>

Version

Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.