{"id":783,"date":"2025-01-11T16:09:37","date_gmt":"2025-01-11T15:09:37","guid":{"rendered":"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783"},"modified":"2025-01-14T15:00:15","modified_gmt":"2025-01-14T14:00:15","slug":"physique-de-la-chaine-de-mesure-3-1","status":"publish","type":"page","link":"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783","title":{"rendered":"Physique de la Cha\u00eene de Mesure 3-1"},"content":{"rendered":"\n

Physique de la Cha\u00eene de Mesure 3<\/h2>\n\n\n\n

Syst\u00e8mes asservis<\/mark><\/h3>\n\n\n\n
<\/div>
\n
\n
Objectifs p\u00e9dagogiques<\/strong> :<\/h5>\n\n\n\n

Introduire les outils et les concepts fondamentaux de l\u2019approche \u00ab fr\u00e9quentielle \u00bb de l\u2019automatique lin\u00e9aire \u00e0 temps continu et la probl\u00e9matique de la commande \u00e0 temps discret.<\/p>\n\n\n\n

Programme<\/strong> :<\/h5>\n\n\n\n
    \n
  • Notion de syst\u00e8me dynamique, concepts et outils math\u00e9matiques pour l\u2019\u00e9tude des syst\u00e8mes d\u2019\u00e9quations diff\u00e9rentielles lin\u00e9aires \u00e0 coefficients constants : transform\u00e9e de Laplace, fonction de transfert, r\u00e9ponse impulsionnelle et r\u00e9ponse indicielle, r\u00e9gime transitoire et r\u00e9gime d\u00e9finitif, retards purs.<\/li>\n\n\n\n
  • D\u00e9finition et caract\u00e9risation de la stabilit\u00e9 d\u2019un syst\u00e8me lin\u00e9aire \u00e0 partir de sa fonction de transfert, crit\u00e8re de Routh-Hurwitz, r\u00e9ponse fr\u00e9quentielle d\u2019un syst\u00e8me stable.<\/li>\n\n\n\n
  • \u00c9tude des syst\u00e8mes du premier ordre et des syst\u00e8mes stables du second ordre dans les domaines temporel et fr\u00e9quentiel.<\/li>\n\n\n\n
  • Notion de syst\u00e8me asservi. Passage de la boucle ouverte \u00e0 la boucle ferm\u00e9e. Caract\u00e9risation des performances d\u2019un syst\u00e8me asservi.<\/li>\n\n\n\n
  • R\u00e9gulateurs PID : d\u00e9finition, propri\u00e9t\u00e9s et r\u00e9glage.<\/li>\n\n\n\n
  • \u00c9tude de la stabilit\u00e9 d\u2019un syst\u00e8me asservi en appliquant le crit\u00e8re de Nyquist, d\u00e9finition et \u00e9valuation des marges de stabilit\u00e9.<\/li>\n\n\n\n
  • M\u00e9thodes de synth\u00e8se d\u2019un r\u00e9gulateur lin\u00e9aire.<\/li>\n\n\n\n
  • Commande \u00e0 temps discret : \u00e9chantillonneur et bloqueur, approximation d\u2019un syst\u00e8me asservi \u00e0 temps continu par discr\u00e9tisation du r\u00e9gulateur, formalisme pour l\u2019\u00e9tude des syst\u00e8mes dynamiques \u00e0 temps discret.<\/li>\n<\/ul>\n\n\n\n
    Pr\u00e9-requis :<\/strong><\/h5>\n\n\n\n
      \n
    • Notions de base et proc\u00e9dures de calcul sur les nombres complexes et les fonctions d\u2019une variable complexe<\/li>\n\n\n\n
    • Transformations d\u2019une fonction du temps dans le domaine fr\u00e9quentiel (transform\u00e9es de Fourier et de Laplace)<\/li>\n\n\n\n
    • Notions de base du calcul polynomial<\/li>\n<\/ul>\n\n\n\n
      Comp\u00e9tences vis\u00e9es :<\/strong><\/h5>\n\n\n\n

      Les \u00e9tudiants ayant suivi cet enseignement devront pouvoir, \u00e0 partir d\u2019un mod\u00e8le du syst\u00e8me \u00e0 commander donn\u00e9 sous la forme d\u2019une ou plusieurs \u00e9quations diff\u00e9rentielles :<\/p>\n\n\n\n

        \n
      1. \u00c9tudier le comportement du syst\u00e8me \u00e0 commander (stabilit\u00e9, r\u00e9ponses temporelle et fr\u00e9quentielle)<\/li>\n\n\n\n
      2. Choisir un type de r\u00e9gulateur appropri\u00e9 en fonction des diff\u00e9rents objectifs de commande (pr\u00e9cision, rapidit\u00e9, d\u00e9passements, poursuite d\u2019une trajectoire de r\u00e9f\u00e9rence, r\u00e9jection de perturbations\u2026)<\/li>\n\n\n\n
      3. \u00c9valuer les performances du syst\u00e8me command\u00e9 et leur robustesse<\/li>\n<\/ol>\n\n\n\n
        <\/div>\n\n\n\n

        Enseignant :<\/strong> Henri Fran\u00e7ois Raynaud<\/p>\n<\/div>\n\n\n\n

        \n
        \"\"<\/figure>\n\n\n\n
        <\/div>\n\n\n\n
        CM<\/td>12 H<\/td><\/tr>
        TP<\/td>12 H<\/td><\/tr>
        Projet<\/td>12 H<\/td><\/tr>
        ECTS<\/td>3<\/td><\/tr>
        Lieu<\/td>Villetaneuse<\/td><\/tr>
        Langue<\/td>French<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"

        Physique de la Cha\u00eene de Mesure 3 Syst\u00e8mes asservis<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":302,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"class_list":["post-783","page","type-page","status-publish","hentry"],"blocksy_meta":[],"yoast_head":"\nPhysique de la Cha\u00eene de Mesure 3-1 - Master TechQ<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Physique de la Cha\u00eene de Mesure 3-1 - Master TechQ\" \/>\n<meta property=\"og:description\" content=\"Physique de la Cha\u00eene de Mesure 3 Syst\u00e8mes asservis\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783\" \/>\n<meta property=\"og:site_name\" content=\"Master TechQ\" \/>\n<meta property=\"article:modified_time\" content=\"2025-01-14T14:00:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/Set-point_control-1024x396.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783\",\"url\":\"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=783\",\"name\":\"Physique de la Cha\u00eene de Mesure 3-1 - 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