Active vibration control of a fluid/plate system using a pole placement controller

We consider the problem of active reduction of the structural vibrations induced by the sloshing of large masses of fuel inside a partly full tank. The proposed study focuses on an experimental device mimicking an aircraft wing made of an aluminum rectangular plate equipped with piezoelectric patches at the clamped end and with a cylindrical tip-tank, more or less filled with liquid. After deriving a representative finite dimensional model of the complete system, containing the first 5 structural modes of the plate and the first 3 liquid sloshing modes, a controller is computed. Since our main scope is to control the most energetic mode of the structure, a full state feedback method coupled with an observer is used. Finally, the controller is also tested for different initial conditions/perturbations and the results are compared with the ones obtained with an H ∞ controller. Experimental results illustrate the relevance of the chosen strategy. Corresponding author. Email: [email protected], CNRS; LAAS; 7 avenue du colonel Roche, F31077 Toulouse, France. Université de Toulouse; UPS, INSA, INP, ISAE, UT1, UTM, LAAS; F-31077 Toulouse, France. CNRS; LAAS; 7 avenue du colonel Roche, F-31077 Toulouse, France. Université de Toulouse; UPS, INSA, INP, ISAE, UT1, UTM, LAAS; F-31077 Toulouse, France. Department of Automatic Control, Gipsa-lab, Domaine universitaire, 961 rue de la Houille Blanche, BP 46, 38402 Grenoble Cedex, France,