Syllabus for Modelling of Dynamic Systems

Modellering av dynamiska system

  • 5 credits
  • Course code: 1RT155
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Sociotechnical Systems G2F, Technology G2F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle

    • G1N: has only upper-secondary level entry requirements
    • G1F: has less than 60 credits in first-cycle course/s as entry requirements
    • G1E: contains specially designed degree project for Higher Education Diploma
    • G2F: has at least 60 credits in first-cycle course/s as entry requirements
    • G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    • GXX: in-depth level of the course cannot be classified

    Second cycle

    • A1N: has only first-cycle course/s as entry requirements
    • A1F: has second-cycle course/s as entry requirements
    • A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    • A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    • AXX: in-depth level of the course cannot be classified

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2008-03-18
  • Established by:
  • Revised: 2022-10-18
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2023
  • Entry requirements:

    60 credits science/engineering including Single Variable Calculus. Participation in courses Linear Algebra II and Transform Methods.

  • Responsible department: Department of Information Technology

Learning outcomes

On completion of the course, the student should be able to:

  • construct mathematical models of systems based upon basic relations
  • apply transform methods in order to describe and analyse linear dynamic systems
  • analyse simple nonlinear systems
  • describe how parametric and nonparametric methods can be used to estimate 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. Modelling of dynamic systems using parametric and nonparametric methods.

Instruction

Lectures, problem solving sessions, laboratory work and assignments.

Assessment

Written examination (4 credits), assignment (0.5 credits) and laboratory work (0.5 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Reading list

The reading list is missing. For further information, please contact the responsible department.