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# Control theory - 4PMIAUT1

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• #### Number of hours

• Lectures : 12.0
• Tutorials : 12.0
• Laboratory works : 12.0
• Projects : 0
• Internship : 0
• Written tests : -
ECTS : 3.0
• Officials : Pierre-Yves COULON

### Goals

This course address the fundamentals of continuous automatic control theory and deals with the main basic tools used in this discipline.
The aim is to provide students with the necessary theoretical and methodological elements in applied physics that will be useful to them as engineers.

Contact Fanny POINSOTTE

Content

Courses and Tutorials (24)

1 Modelization
Study variation, total differential, Laplace transform, block diagrams, transfer function, open loop, closed loop

2 Responses
Time and harmonic responses, Bode, Nyquist and Black plots, basic systems (gain, integrator, 1st and 2nd order, delay)

3 Performances
Stability (graphics criteria, Nyquist), static error, dynamic and speed

4 Control system design
Proportional controller, integral (PI, phase delay), derived (PD, leading), PID

5 Introduction to nonlinear systems
First harmonic method, phase plane method.

Lab sessions (12h)

1 Lightning control (analog hardware plant, signal generator, multimeter, oscilloscope)
System identification, open-loop study, Bode plot, step responses, static errors (first and second order), proportional and integral controller

2 Simulation of a hot air balloon control using Simulink software
Time and harmonic responses, Bode, Nyquist and Black plots, controller design, nonlinear control

Prerequisites

Laplace Transform.

Tests

Final exam (2h)(E) + reports on the practical work(TP).

• Modalités de Contrôle des Connaissances (MCC) en présentiel **
Note de session Normale = 1/3 TP encadré + 2/3 examen écrit
Note de session 2 = examen écrit
• Modalités de Contrôle des Connaissances (MCC) en distanciel **
Note de session 1 = 1/3 TP à distance + 2/3 devoir à la maison
Note de session 2 = devoir à la maison

Calendar

The course exists in the following branches:

• Curriculum - Embedded Systems & Connect. Devices - Semester 7
see the course schedule for 2020-2021

Curriculum->Engineering degree->Semester 7

Bibliography

M. Rivoire, J.L. Ferrier : Cours d'automatique T2. Asservissements, régulation, commande analogique (Eyrolles, 1990).

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Date of update June 30, 2020

## Version française

3 Parvis Louis Néel - CS 50257 - 38016 Grenoble Cedex 1
Tél. : +33 4 56 52 91 00