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Active vibration control of a fluid/plate system. Contrôle actif des vibrations dans un système couplé fluide

Bogdan Robu 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : We consider the problem of the active reduction of structural vibrations of a plane wing induced by the sloshing of large masses of fuel inside partly full tank. This study focuses on an experimental device composed of an aluminum rectangular plate equipped with piezoelectric actuators/sensors at the clamped end and with a cylindrical tip-tank, more or less filled with liquid, at the opposite free end. The control is performed through piezoelectric actuators and the main difficulty comes from the complex coupling between the flexible modes of the wing and the sloshing modes of the fuel. First, a partial derivative equation model is computed by coupling a plate equation with a Bernoulli equation for the fluid motion. After analyzing the energetic contribution of each mode, a state space approximation is established. After a model matching procedure, a control is computed by using the pole placement method and the H-infinity theory. Due to the large scale of the synthesis model and to the simultaneous performance requirements, a reduced-order H-infinity controller is computed using the HIFOO 2.0 package and tested on the experimental device for different filling levels. Finally, the problem of simultaneous control with a reduced order HIFOO controller is tackled. Experimental results of this non-convex optimization problem are given and commented.
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Contributor : Arlette Evrard <>
Submitted on : Wednesday, December 15, 2010 - 1:35:06 PM
Last modification on : Thursday, June 10, 2021 - 3:02:28 AM
Long-term archiving on: : Saturday, December 3, 2016 - 2:59:51 AM


  • HAL Id : tel-00547014, version 1


Bogdan Robu. Active vibration control of a fluid/plate system. Contrôle actif des vibrations dans un système couplé fluide. Mathematics [math]. Université Paul Sabatier - Toulouse III, 2010. English. ⟨tel-00547014⟩



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