Modelling of Dynamic Systems

5 credits

Syllabus, Bachelor's level, 1RT155

A revised version of the syllabus is available.
Code
1RT155
Education cycle
First cycle
Main field(s) of study and in-depth level
Sociotechnical Systems G2F, Technology G2F
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 28 April 2009
Responsible department
Department of Information Technology

Entry requirements

Single variable calculus, Linear algebra II, Transform methods.

Learning outcomes

For a pass mark, the student must be able to

  • construct mathematical models of systems based upon basic relations
  • apply transform methods in order to describe and analyse systems and time series
  • analyse simple nonlinear systems
  • estimate and validate simple models.

Content

Applications of models in engineering. A survey of models in physics/mechanics/electronics/biology/economy. Model types. Model reduction. Difference and differential equations, transfer functions. The concepts poles, zeros, frequency function, stability and causality. State space models. Introduction to nonlinear systems. Linearisation and stationary solutions. Disturbances and disturbance models. Estimation of simple time series models. Model validation. Simulation and simulation software.

Instruction

Lectures, problem solving sessions, laboratory work and assignments.

Assessment

Written examination (4.5 credits) and laboratory work (0.5 credits)

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