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Linear Systems Analysis - 2AMAC201

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  • Number of hours

    • Lectures : 10.5
    • Tutorials : 9.0
    • Laboratory works : 9.0
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 2.0
  • Officials : Guy DEHAY

Goals

  • Understand the vocabulary of automatic control
  • Know how to use the Laplace transform to the transfer functions and solving differential equations.
  • Know how to compute the time response of simple linear systems.
  • Ability to perform frequency analysis with a Bode plot for simple linear systems.
  • Know how to interpret a Bode plot.

Content

Topic of System

  • Linear system propriity
    • Integration – Derivation - Superposition principle
  • Laplace transform
    • Formal definition, Properties and theorems, integral equations and differential equations resolution.
    • Transfert function
    • Harmonic analysis – Bode diagram
  • Times proprity of linear system
    • transient state
    • steady state
  • Classic input presentation
    • Dirac delta function
    • Heaviside step function
    • Ramp function
  • Classic transfert function (First and second order)
    • Times analysis
    • Harmonic analysis

Prerequisites

Complex number

Tests

1 session only

  • Test during course: 1:00 - With Calculator - Without any document
  • Final exam : 1:45 - With Calculator - Without any paper
  • Laboratory report given at the end of each session

Calendar

The course exists in the following branches:

  • Curriculum - First cycle - Semester 3
see the course schedule for 2021-2022

Additional Information

Course ID : 2AMAC201
Course language(s): FR

The course is attached to the following structures:

You can find this course among all other courses.

Bibliography

  • Automatique appliquée - Systèmes linéaires de commande à signaux analogiques (E. Dieulesaint / D. Royer, Masson)
  • Signaux et systèmes linéaires (Y. Thomas, Masson)
  • Signaux et systèmes linéaires - exercices corrigés (Y. Thomas, Masson)
  • Automatique commande des systèmes linéaires (Ph. de Larminat, Masson)
  • Théorie et calcul des asservissement linéaires; (Gille / Decaulne / Pelegrin ; DUNOD)
  • Automatique (Collection SHAUM)

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Date of update June 25, 2015

Université Grenoble Alpes