# Linear Control

linma1510  2020-2021  Louvain-la-Neuve

Linear Control
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Dochain Denis;
Language
French
Prerequisites
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.
Aims
 At the end of this learning unit, the student is able to : 1 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 : to design control systems on the basis of linear models; to design control systems  in closed loop aimed at meeting stability, robustness, steady-sate accuracy and transient behaviour performance requirements ; to use computer-aided control design methods ; to implement closed-loop control systems in laboratory conditions, in conditions close to those encountered in industrial practice; to use industrial PID regulators; to use discrete time controllers implemented on PLC's; to perform experiments in an autonimous way, from the planning of the work until the practical implementation and the performance evaluation.
Content
1. Mathematical models
2. General principles of closed-loop control
3. Stability
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

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Problem-based learning, laboratory experiments. The course will be given either in presence mode or in distance mode.
Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Laboratory evaluation outside of the exam period and written exam, either under the format of an oral evaluation or via the use of an evaluation software for the laboratory evluation, either under an hand-written mode or via the use of an evaltaion software for the written exam. The teacher reserve the right to examine orally any student besides the laboratory evaluation and the written exam.
Online resources
Bibliography
Transparents de théorie, notices de laboratoire et d'exercices, fiches, fichiers d'exemples et d'llustration des concepts.
Livre de référence : K. Astrom & R. Murray, Feedback Systems: An Introduction for Scientists and Engineers http://www.cds.caltech.edu/~murray/amwiki/index.php
Faculty or entity
MAP
Force majeure
Teaching methods
In case of force majeure, the course will be given at distance by using the softwares available for the teachers.
Evaluation methods
In case of force majeure, the laboratory evaluation and the written exam will take place at distance by using the softwares available for the teachers.

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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Minor in Applied Mathematics

Master [120] in Electrical Engineering

Master [120] in Chemical and Materials Engineering

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

Specialization track in Applied Mathematics

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

Master [120] in Mechanical Engineering