EL1820 Modelling of Dynamical Systems 6.0 credits

• Educational level

  First cycle

• Academic level (A-D)

  C

• Subject area

  Electrical Engineering
  Techonology
  

• Grade scale

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

• More information

• Course page on KTH Social

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 bond graph 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, and determine the index of a given DAE model.
• 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 main content

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.

Eligibility

Basic eligibility.

Prerequisites

Elementary physics and mathematical statistics, basic course or equivalent

Literature

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

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

Examination

• LAB1 - Laboratory Work, 0.5 credits, grade scale: P, F
• LAB2 - Laboratory Work, 0.5 credits, grade scale: P, F
• LAB3 - Laboratory Work, 0.5 credits, grade scale: P, F
• TEN1 - Examination, 4.5 credits, grade 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 0.5 hp

Offered by

EES/Automatic Control

Contact

Cristian Rojas (crro@kth.se)

Examiner

Cristian Rojas <crro@kth.se>

Supplementary information

Replaces 2E1282

Version

Course plan valid from: Autumn 10.
Examination information valid from: Autumn 07.