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MATH-H304

Automatique

academic year
2024-2025

Course teacher(s)

Michel KINNAERT (Coordinator)

ECTS credits

5

Language(s) of instruction

french

Course content

Introduction and motivation

Part I: Modelling of dynamic systems

  • Dynamic model: refresher, linearization, introduction to state space models

  • Sudy of the state space models

  • Analysis of the model of a LTI system: characterization of the time resonse, link with the pole positions

  • Modelling from experimental data

Part 2: Foundations of control loops

  • Analysis of the properties of a closed-loop

  • Basic notions on PID control

Part 3: Controller design

  • Root locus method

  • Methods based on the harmonic response

  • Introduction to digital control

Objectives (and/or specific learning outcomes)

The objective is to teach the foundation of control engineering.

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

  • to determine and use different types of modesl for singlle-input-single-output linear time invariant dynamic systems (transfer function, state space model)

  • to analyse the preperties of linear time invariant (LTI) dynamic systems (stability, controllability, observability)

  • to synthesize a classicla controller (P, PI, PID, lead or lag controlller) be exploiting the root locus method and/or methods based on the harmonic response (Bode and Nyquist curves)

Prerequisites and Corequisites

Required and corequired courses

Cours co-requis

Teaching methods and learning activities

  • Lectures based on slides and numerous examples detailed on the blackboard

  • Practical work

Contribution to the teaching profile

This teaching unit contributes to the following competences:

  • Abstraire, modéliser et simuler des systèmes physiques complexes rencontrés dans les applications biomédicales (bioélectricité, biomécanique, écoulements, etc.)

  • Se représenter les mécanismes biologiques fondamentaux depuis la biochimie de la cellule jusqu’au fonctionnement des principaux systèmes de la physiologie humaine

References, bibliography, and recommended reading

G.F. Franklin, J.D. Powell and A. Emami-Naeini. Feedback Control of Dynamic Systems. 7th edition, Peasron, 2015

K. Ogata. ModernControl Engineering, 5th edition, Prentice Hall, 2010.

Evaluation

Method(s) of evaluation

  • Other

Other

Practical work: evlautaion of the reports and student activity

1st sessions: Written and oral exams

2nd session: written examn only

Mark calculation method (including weighting of intermediary marks)

First session: practical work 20%, written exam 40%, oral exam 40%

Second session: practical work 20%, written exam 80%

Language(s) of evaluation

  • french

Programmes