Linear Control

linma1510  2022-2023  Louvain-la-Neuve

Linear Control
5.00 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Bianchin Gianluca;
Language
Prerequisites
Notions of signals and systems as taught in LEPL1106.
Main themes
Development of mathematical models for linear dynamical systems (state-space representation, transfer functions) allowing to represent the dynamics in a unified way for a diversity of engineering applications (e.g. electromechanical, mechanical, electrical, chemical, biological, computer science)
Design of control schemes that meet specifications related to stability, transient and steady state performance (accuracy), and robustness. PI and PID controllers, Linear Quadratic Control, Smith predictor, feedforward control, cascade control. Use of software to design controllers.
Learning outcomes

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 :
  1. Design control systems based on linear models;
  2. Design of control schemes that meet specifications on related to stability, transient and steady state performance (accuracy), and robustness. PI and PID regulators, Linear Quadratic Control, Smith predictors, feedforward control, cascade control;
  3. Use software to design controllers.;
  4. Implement closed-loop control system in laboratory experiments under conditions similar to those in industrial applications.;
  5. Use industrial PID controller;
  6. Autonomously run automatic control experiments, from the design level to the actual implementation and performance evaluations;
 
Content
  1. Analysis and design of continuous-time control systems using classical and state space methods. 
  2. Laplace transforms, transfer functions, and block diagrams. 
  3. Stability, dynamic response, and steady-state analysis. 
  4. Analysis and design of control systems using frequency domain methods. 
  5. Analysis and design of control systems using time domain methods. 
Teaching methods
Problem-based learning, laboratory experiments. The course will be given either in presence mode or in distance mode.
Evaluation methods
As part of this course, students are assessed by:
• an individual written exam;
• laboratory evaluation outside of the exam period, produced individually, either under the format of an oral evaluation or a written report or via the use of an evaluation software.
To constitute the final grade, the weighting given to the assessments is:
• 75% to the written exam;
• 25% to the laboratory evaluation.
Other information
The lectures and problem sessions are in English, and all documents are in English. Homework, exams, and project reports can be written in English or French.
Bibliography
Slides, notes, and laboratory notes provided by the instructor
Livres de référence :
K. Åström, R. M. Murray, Feedback systems: an introduction for scientists and engineers. Princeton university press, 2021 (http://www.cds.caltech.edu/~murray/amwiki/)
J. P. Hespanha, Linear systems theory. Princeton university press, 2018 (disponible en bibliothèque).
K. Ogata, Modern Control Engineering, 5th Edition, Prentice Hall, 2009 (disponible en bibliothèque).
Faculty or entity
MAP


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

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Specialization track in Biomedical Engineering

Minor in Applied Mathematics

Master [120] in Chemical and Materials Engineering

Specialization track in Applied Mathematics

Master [120] in Mechanical Engineering

Master [120] in Electrical Engineering

Master [120] in Electro-mechanical Engineering