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, apparition de ses effets Une idée classique d'anti-windup est d'introduire des modifications au contrôleur quand la saturation est active. C'est uniquement quand la saturation est active que le correcteur anti-windup commencè a agir pour modifier le comportement du système en boucle fermée. Le but est de trouver un correcteur anti-windup qui garantisse la stabilité pour une région de l'espace d'´ etat aussi grande que possible
, En fait, elle représente une technique intéressante puisque les concepteurs de contrôleurs peuvent utiliser des techniques linéaires qui leur sont famili` eres et intuitives puis simplement ajouter une couche additionnelle afin de tenir compte du comportament non-linéaire. A l'origine, la synthèse anti-windup reposait sur des méthodes ad-hoc pensées pour des contrôleurs PID [FR67, AR89], qui sont les plus courants dans les applications industrielles. L'anti-windup a ´ eté proposé pour plusieurs applications dans différents domaines comme l'aéronautique, QTG06, RBTP07], l'aérospatial [PDTP08, BPT + 09], la mécanique [TZM06] et même la fusion nucléaire [SWHK05]
, idée de base est d'introduire une boucle directe depuis la saturation vers le contrôleurcontrôleurà travers l'anti-windup Au cours de ladernì ere décennie , l'anti-windup concernant les systèmes exponentiellement instables a ´ eté traité, article important dans ce domaine est [KM97, MP96], qui aborde leprobì eme de l'antiwindup statique. [GdSJT05], [CLW02] représentent lespremì eres applications des LMIsà LMIsà la synthèse d'un anti-windup statique assurant la stabilité locale asymptotique. De plus, [WL03] propose une formulation permettant le calcul d'un anti-windup dynamique
, GHP + 03] ont presenté des conditions LMI pour le calcul d'un antiwindup concernant la performance L 2 . Voir [BT09] pour une approche pratique et aussi
, Il est basé sur la sélection d'un correcteur anti-windup comme un filtre dynamique, qui incorpore un modèle du système. Le but de ce filtre est d'essayer de récupérer la réponse du système linéaire en boucle fermée. Cette approche est basée sur les résultats présentés dans, TK97a] et [TK97b] o` u le MRAW est nommé comme leprobì eme anti-windup L 2 . Des illustrations de cette architecture peuventêtrepeuventêtre consultées dans [ZT02] pour les systèmes exponentiellement stables, dans [TZM06] pour les systèmes marginallement stables et dans [Tee99] pour les systèmes exponentiellement instables