State Space and Digital Control


Content, progress and pedagogy of the module

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

Learning objectives


  • Have knowledge about digital state space models and representation of systems on state space format
  • Have knowledge about canonical forms and their connection with transfer functions
  • Have knowledge about the systems behaviour and stability properties seen in relation to the eigenvalues of the system
  • Have knowledge about controllability and observability
  • Have knowledge about pole placement and state observer design
  • Have knowledge about sampling and reconstruction of time continuous digital signals
  • Have knowledge about methods for analysis of discrete-time signals and systems using the Z-transform
  • Have knowledge about methods for design of discrete-time controllers
  • Have knowledge about methods for discretization of continuous time controllers


  • Be able to model linear time invariant continuous systems using state space representation via digital calculation tools
  • Be able to solve state space equations and be able to analyse responses and stability properties using state space models
  • Be able to design state space controllers and observers for a time continuous system
  • Be able to model and analyse both open loop and closed loop discrete time systems
  • Be able to select a sampling time in digital control
  • Be able to formulate specifications for a closed loop system and be able to select a suitable discrete time controller
  • Be able to design a discrete time controller in theĀ  Z-domain
  • Be able to use methods for discretization of a digital continuous time controller and be able to evaluate the usefulness of the obtained discrete controller
  • Have understanding of the practical implementation of digital discrete time controllers


  • Be able to handle development oriented situations related to digital state space control and discrete time control
  • Be able to enter into an academic and interdisciplinary cooperation in digital state space control and discrete time control
  • Be able to identify own learning needs and structure own learning related to digital state space control and discrete time 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 examState Space and Digital Control
Type of exam
Written or oral exam
Permitted aids
With certain aids:
For more information about permitted aids, please visit the course description in Moodle.
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 titleTilstandsregulering og diskret regulering
Module codeN-EN-B6-9C
Module typeCourse
Duration1 semester
Language of instructionDanish and English
Empty-place SchemeYes
Location of the lectureCampus Aalborg
Responsible for the module


Study BoardStudy Board of Energy
DepartmentDepartment of Energy
FacultyThe Faculty of Engineering and Science