Modern and Digital Control


Recommended prerequisite for participation in the module

The module is based on knowledge achieved in the module Fundamental control theory or similar.

Content, progress and pedagogy of the module

Learning objectives


  • Have knowledge about state-space modelling and formulation of systems in state-space form
  • Have knowledge about canonical forms and consistency with transfer functions
  • Have knowledge about a system's behavior and stability in relation to the system's eigenvalues
  • Have knowledge about controllability and observability
  • Have knowledge about pole placement and observer design
  • Have knowledge about discretization (sampling) and reconstruction of continuous time signals
  • Have knowledge about methods for analysing discrete time signals and systems (Z transformation)
  • Have knowledge about methods for design of digital controllers
  • Have knowledge about methods for discretisation of continuous time controllers


  • Be able to model continuous time linear dynamic systems in state-space form
  • Be able to solve state-space equation and be able to analyse system's response and stability based on a state-space model
  • Be able to design both state-space controller and state-space observer for continuous time systems
  • Be able to model and analyse discrete-time systems in both open and closed-loop
  • Be able to choose sampling time
  • Be able to set performance requirements for a closed-loop system and be able to select the controller structure
  • Be able to design digital controller directly in the z-domain
  • Be able to use methods for discretizing continuous time regulators and be able to assess the usefulness of the results
  • Have an understanding of the practical implementation of digital controllers


  • Be able to handle developments in connection with state-space and digital control
  • Participate independently in professional and interdisciplinary collaboration with a professional approach for state-space and digital control
  • Identify own learning needs and structure own learning within state-space and digital control

Type of instruction

The programme is based on a combination of academic, problem oriented and interdisciplinary approaches and organised based on the following types of instruction that combine skills and re-flection:

  • lectures
  • class teaching
  • project work
  • workshops
  • exercises (individually and in groups)
  • teacher feedback
  • professional reflection
  • portfolio work
  • laboratory work
  • e-learning

Extent and expected workload

Since it is a 5 ECTS course, the work load is expected to be 150 hours for the student.



Name of examModern and Digital Control
Type of exam
Written or oral exam
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentThe criteria of assessment are stated in the Examination Policies and Procedures

Facts about the module

Danish titleModerne digital regulering
Module codeN-EN-BE5-2A
Module typeCourse
Duration1 semester
Language of instructionDanish and English
Empty-place SchemeYes
Location of the lectureCampus Esbjerg
Responsible for the module


Study BoardStudy Board of Build, Energy, Electronics and Mechanics in Esbjerg
DepartmentDepartment of Energy
FacultyThe Faculty of Engineering and Science