# Fiches de cours

## Dynamical systems

#### Enseignant(s) :

Sakar Mahmut Selman

English

#### Summary

Provides the students with basic notions and tools for the analysis of dynamic systems. Shows them how to develop mathematical models of dynamic systems and perform analysis in time and frequency domains.

#### Content

• Dynamic behavior of physical systems with electrical, mechanical, electromechanical, fluid, and thermal components. Concept of process, system, and model.
• Linearization procedure. Convolution. State-space representation.
• Laplace transformation. Concept of transfer function. Poles and zeros.
• Transient and frequency response of linear dynamical systems. Bode and Nyquist plots.

#### Keywords

Mathematical modeling, transfer function, time and frequency domain analysis

#### Learning Prerequisites

##### Required courses

• Analysis I-III
• General Physics I and II

#### Learning Outcomes

By the end of the course, the student must be able to:
• Represent a physical process as a system with its inputs, outputs, and disturbances, A1
• Analyze a linear dynamical system (both time and frequency response), A3
• Represent a system by a transfer function and by a linear or nonlinear state-space model, A4
• Construct a linear model of a nonlinear system, A2

#### Transversal skills

• Manage priorities.
• Assess one's own level of skill acquisition, and plan their on-going learning goals.
• Access and evaluate appropriate sources of information.
• Use both general and domain specific IT resources and tools
• Plan and carry out activities in a way which makes optimal use of available time and other resources.

#### Teaching methods

Lectures, written exercices, and computer-based exercises

#### Expected student activities

• Participate to lectures and exercice sessions
• Assignments of about 2 hours per week

Written Exam

#### Supervision

 Office hours No Assistants Yes Forum No

#### Resources

##### Bibliography

• System Dynamics, 4th Edition by K. Ogata, Prentice Hall, 2004
• System Dynamics, 3rd Edition by W. Palm, McGraw-Hill College, 2013

#### Prerequisite for

• Control systems (ME-321)
• Mechanical vibrations (ME-332)
• Multivariable systems (ME-324)
• Measurement techniques (ME-301)
• Dynamical effects in mechanical design (ME-311)

### Semaine de référence

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
En construction

Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand