Linear Control

linma1510  2019-2020  Louvain-la-Neuve

Linear Control
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Applied mathematics : Signals and systems [LEPL1106]
Main themes
Derivation of mathematical models of linear dynamical systems (state equations and transfer functions). Design of regulators and closed-loop control systems in order to satisfy specifications of stability, robustness, steady-state accuracy and transient performance. PI and PID regulation. Computer aided design.

At the end of this learning unit, the student is able to :


With respect to the referentiel AA, this courses contributes to the development,  the acquisition and the evaluation of the following learning outcomes :

  • AA1.1, AA1.2, AA1.3
  • AA5.3, AA5.4, AA5.5

At the end of the course, the student will be able :

  1. to design control systems on the basis of linear models;
  2. to design control systems  in closed loop aimed at meeting stability, robustness, steady-sate accuracy and transient behaviour performance requirements ;
  3. to use computer-aided control design methods ;
  4. to implement closed-loop control systems in laboratory conditions, in conditions close to those encountered in industrial practice;
  5. to use industrial PID regulators;
  6. to use discrete time controllers implemented on PLC's;
  7. to perform experiments in an autonimous way, from the planning of the work until the practical implementation and the performance evaluation.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
  1. Mathematical models
  2. General principles of closed-loop control
  3. Stability
  4. Steady-state accuracy
  5. Disturbance attenuation
  6. Transient performance
  7. Robustness
  8. Regulation structures
  9. Case studies: electrical machines, automotive systems, aeronautics, thermic and nuclear power plants, heat exchangers, industrial grinding and mixing processes, etc.
Teaching methods
Problem-based learning, laboratory experiments.
Evaluation methods
Laboratory evaluation outside of the exam period and written exam.
Transparents, notices de laboratoire.
Livre de référence : K. Astrom & R. Murray, Feedback Systems: An Introduction for Scientists and Engineers
Faculty or entity

Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Master [120] in Mechanical Engineering

Master [120] in Electrical Engineering

Master [120] in Chemical and Materials Engineering

Minor in Engineering Sciences: Applied Mathematics (only available for reenrolment)

Minor in Engineering Sciences: Mechanics (only available for reenrolment)

Minor in Applied Mathematics

Specialization track in Applied Mathematics