Modelling and analysis of dynamical systems

linma2370  2022-2023  Louvain-la-Neuve

Modelling and analysis of dynamical systems
5.00 credits
30.0 h + 22.5 h
Q1
Teacher(s)
Delvenne Jean-Charles;
Language
English
> French-friendly
Prerequisites
Basic calculus and linear algebra, such as taught in LEPL1101 (Mathématiques I) et LEPL1102 (Mathématiques II)
Main themes
First part : presentation of the modelling principles and methods in various areas of engineering sciences : electricity, mechanics, chemical and biochemical processes, environment. Second part : presentation of the major methods for the analysis of the structural properties of state space models : state transformations, equilibria, stability and attractors, controllability, singular perturbations.
Learning outcomes

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

1 Learning outcomes:
  • AA1 : 1,2,3
  • AA4 : 1,2,3,4  
  • AA5 : 2,3,5,6       
More specifically, at the end of the course the student:
  • will be aware of the unifying character of the state space model concept in engineering sciences.
  • will be able to model a wide span of situations encountered in diverse engineering sciences
  • will be able to analyze the properties of those dynamical systems defined on a state space
Transversal learning outcomes:
  • Using Matlab and Simulink for the modelling and simulation of dynamical systems.
 
Content
MODELING - mechanical, electrical, electromechanical systems - compartmental systems - reactional systems - systematic applications in various areas ANALYSIS - state transformations - equilibria - qualitative analysis of trajectories in the plane, periodic solutions, limit cycles, bifurcations - stability analysis : Lyapunov methods - controllability and stabilisation of linear and nonlinear systems
Teaching methods
Ex cathedra, and reading by the students of the documents provided to them
Evaluation methods
The project during the semester amounts to 25% of the final grade (in Jan and, unchanged, in Aug). The (written and sometimes oral, depending on the circumstances) exam amounts to 75% of the final grade.
Online resources
Moodle page of the course
Teaching materials
  • Documents disponibles sur Moodle. Documents available on Moodle.
Faculty or entity
MAP


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

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Biomedical Engineering
GBIO2M
5
Master [120] in Electro-mechanical Engineering
ELME2M
5
Master [120] in Mathematical Engineering
MAP2M
5