Conception d'une loi de commande robuste de la pression dans un réservoir pneumatique à l'aide d'une formulation IML

Abstract

Ce mémoire présente une méthodologie d'élaboration d'une loi de commande proportionnelle-intégrale (PI) permettant la stabilisation robuste de la pression dans un réservoir pneumatique. L'idée principale est de convertir les non linéarités et les incertitudes du systèmes en un certains nombres de contraintes qui seront traités par le formalisme des inégalités matricielles linéaires (IML) en introduisant un ensemble d'équations généralisée de Lyapunov pour chaque contrainte. Ceci permet de contraindre les pôles du système dans une région prescrite du plan complexe selon les exigences désirées (temps de réponse, dépassement et mode du système en haute fréquence). La solution de ce problème d'optimisation convexe peut facilement être obtenue grâce à des algorithmes numériques implantés dans des logiciels de calcul tels que MATLAB.

Alternate abstract:

You are viewing a machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Show full disclaimer

Neither ProQuest nor its licensors make any representations or warranties with respect to the translations. The translations are automatically generated "AS IS" and "AS AVAILABLE" and are not retained in our systems. PROQUEST AND ITS LICENSORS SPECIFICALLY DISCLAIM ANY AND ALL EXPRESS OR IMPLIED WARRANTIES, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES FOR AVAILABILITY, ACCURACY, TIMELINESS, COMPLETENESS, NON-INFRINGMENT, MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. Your use of the translations is subject to all use restrictions contained in your Electronic Products License Agreement and by using the translation functionality you agree to forgo any and all claims against ProQuest or its licensors for your use of the translation functionality and any output derived there from. Hide full disclaimer

This thesis presents a methodology for developing a proportional-integral (PI) control law allowing robust stabilization of the pressure in a pneumatic reservoir. The main idea is to convert the nonlinearities and the uncertainties of the system into a certain number of constraints which will be treated by the formalism of linear matrix inequalities (LMI) by introducing a set of generalized Lyapunov equations for each constraint. This allows constraining the poles of the system in a prescribed region of the complex plane according to the desired requirements (response time, overshoot and mode of the system in high frequency). The solution of this convex optimization problem can easily be obtained thanks to numerical algorithms implemented in calculation software such as MATLAB.