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EL1820 Modelling of Dynamical Systems 6.0 credits

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

Course offering missing for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus EL1820 (Autumn 2014–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Types of models, physics/ mechanics/ electronics- overview, model somplifications, bond graphs, object oriented modelling, disturbance and disturbance models, non- parametric identification, parameter estimation, system identification for modelling.

Simulation: numerical errors, computer simulation tools.

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.
  • Choose a proper numerical solver and its parameters for effective simulation of a given problem.
  • 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 agains experimental data.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

Basic eligibility.

Recommended prerequisites

Elementary physics and mathematical statistics, basic course or equivalent


No information inserted


Ljung, L. och Glad T. Modellbygge och simulering, Studentlitteratur, 1991.

Lindskog, Glad; Ljung, “ Modellbygge och simulering övningsbok”, Studentlitteratur, 1997.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

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


  • LAB1 - Laboratory Work, 0,5 hp, betygsskala: P, F
  • LAB2 - Laboratory Work, 0,5 hp, betygsskala: P, F
  • LAB3 - Laboratory Work, 0,5 hp, betygsskala: P, F
  • TEN1 - Examination, 4,5 hp, betygsskala: 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 0.5 hp

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


Profile picture Cristian Rojas

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.

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 EL1820

Offered by

EES/Automatic Control

Main field of study

Electrical Engineering, Technology

Education cycle

First cycle

Add-on studies

No information inserted


Cristian Rojas (

Supplementary information

Replaces 2E1282