Single-Course English 5 ECTS

Digital Control Systems

Overall Course Objectives

To provide students with skills to analyze, design and implement discrete PID-controllers for technical systems. The course includes theory and exercises, weekly problems’ sets, which include design, simulation and implementation of PID-controllers, using also MATLAB and SIMULINK.

Learning Objectives

  • Make solutions to differential equations with Laplace transformation .
  • Describe models for dynamical systems as transfer functions and block diagrams.
  • Use and reduce block diagrams for open- and closed-loop feedback systems.
  • Perform sampling and reconstruction of signals.
  • Determine characteristic parameters for 1st and 2nd order systems
  • Make analysis of continuous and discrete transfer functions of open- and closed-loop feedback systems.
  • Carry out stability analysis of closed-loop control systems in s- and z- domains.
  • Analyze and select standard compensators (PID).
  • Design discrete PID-controllers.
  • Use MATLAB and SIMULINK to analyze, calculate and simulate control systems

Course Content

Fundamental concepts in control systems with feedback. Differential equations, Laplace transformation and transfer functions. Development and reduction of block diagrams for continuous and discrete control systems. Time- and frequency- analysis, continuous and discrete. Stability analysis. Basic design methods for PID-controllers. The theory and methods reviewed are supported by many practical examples and exercises in MATLAB and SIMULINK.

Recommended prerequisites

01901/62525, Calculus and algebra 1
Signal Analysis

Teaching Method

A mixture of classroom lectures and problem solving work, partly based on MATLAB and SIMULINK as the simulation tool.



Faggruppe: AI, matematik og software
IT-Elektronik: 4. semester

This course contributes to gaining knowledge for optimizing and regulating the use of resources and energy, reducing waste and emissions, and improving the efficiency of systems and processes, which all are part of sustainability (SDGs) strategies.

See course in the course database.





13 weeks


Engineering Technology


DTU Ballerup Campus

Course code 62716
Course type Graduate Engineer
Semester start Week 5
Semester end Week 19
Days Thurs 8-12

7.500,00 DKK