State Space and Digital Control


Prerequisite/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 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 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
  • 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
  • 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 the  Z-domain
  • Be able to use methods for discretization of a continuous time controllers and be able to evaluate the usefulness of the obtained discrete controller
  • Have understanding of the practical implementation of discrete time controllers


  • Be able to handle development oriented situations related to state space control and discrete time control
  • Be able to enter into an academic and interdisciplinary cooperation in spate space control and discrete time control
  • Be able to identify own learning needs and structure own learning related to spate 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
Assessment7-point grading scale
Type of gradingExternal 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-B6-9A
Module typeCourse
Duration1 semester
Language of instructionEnglish
Empty-place SchemeYes
Location of the lectureCampus Aalborg
Responsible for the module


Study BoardStudy Board of Energy
DepartmentDepartment of Energy Technology
FacultyFaculty of Engineering and Science