EL1820 Modelling of Dynamical Systems 6.0 credits

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.

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.

Basic eligibility.

Elementary physics and mathematical statistics, basic course or equivalent

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

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

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

• LAB1 - Laboratory Work, 0.5 credits, grading scale: P, F
• LAB2 - Laboratory Work, 0.5 credits, grading scale: P, F
• LAB3 - Laboratory Work, 0.5 credits, grading scale: P, F
• TEN1 - Examination, 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.

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

Cristian Rojas

• 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.

Replaces 2E1282