Single-Course English 5 ECTS

Linear control design 1

Overall Course Objectives

The purpose is to provide a basis for analysing, designing and optimising most commonly used control systems.

Regulatory systems are used to improve the performance and efficiency of e.g. power plants, factory production, vehicles, heating, cooling, drones, aircraft and many other places.

Regulatory knowledge therefore contributes to many of the UN’s goals for sustainable development, for example:
11: Sustainable Cities and Communities, 12: Responsible Consumption and Production and 9: Industry, Innovation, and Infrastructure.

Learning Objectives

  • Apply heuristic methods for PID controllers.
  • Derive models of simple dynamic systems based on physics or measurements, and linearize the system to a transfer function in a single operating point
  • Analyze transfer functions in the frequency domain (primarily Bodeplot)
  • Apply block diagrams to describe models for both open- and closed-loop control systems
  • Design PID controllers based on open loop frequency analysis
  • Apply the concepts of stability and stability margin from open loop design
  • Understand the consequences of disturbance and noise sensitivity
  • Evaluate controller performance in terms of overshoot, settling time, steady state error, bandwidth and control limitations
  • Apply analysis, design and simulation software

Course Content

Fundamental concepts in control systems with feedback. Formulation of models of physical systems. Linearisation. Differential equations. Laplace transformation and transfer functions. Frequency analysis. Stability. Basic design methods. Application of standard controllers and compensators. The theory and methods reviewed are supported by many practical examples.

Recommended prerequisites

01005/01035, 01035 can be taken together with this course.

Teaching Method

Lectures, group work (Matlab/Simulink) and exercise / project work.


The course is a relevant optional course for BSc.-students (M) and for B.Eng.-students (M and IT).
E-learning is used in the form of e.g. on-line quiz (home assignments), online discussions or blog and digital exam.

See course in the course database.





13 weeks




DTU Lyngby Campus

Course code 34721
Course type Bachelor

7.500,00 DKK