Synthèse d’une commande adaptative à modèle de référence par la théorie d’hyperstabilité : application à la machine asynchrone

Abstract

The theory of hyperstability as it is developped by Popov was the main subject of researchs till nowdays, especially non-linear and/or time variables process control. More is, the contribution of this concept in terms of stability and performance in the structure of modern controls, especially, adaptive control systems. In this meaning, the actual study is devoted to presenting the general directives for the development of reference type adaptive control by hyperstability criteria. More is, an application of this control technique to the induction motor with its vectorial control was considered. The adaptive structure obtained is relatively heavy and its setting up in real time needs a relatively strong calculators. So, simplifications have been introduced by intervening on the formalism of the control law in one hand, and reference type order in the other hand. So the changings done on the original structure has laid another structure of adaptive control easier to realise. The set of adaptive structures proposed are tested and compared to those dedicated to the classic control by current or voltage, for parametric variations mode to the rotor resistance (heating issue) and to the inertia of moment (robot motor axis issue), in order to show the beneficial impact of adaptive algorithms sythetised by the hyperstability criteria