Geodesic
Exact controllability and output feedback stabilization of a bimorph mirror
Pierre Le Gall1 ; Christophe Prieur2 ; Lionel Rosier1
1Institut Elie Cartan, Université Henri Poincaré Nancy 1, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France
2LAAS-CNRS, Université de Toulouse, 7 avenue du colonel Roche, 31077 Toulouse, France
ESAIM. Proceedings, Tome 25 (2008), pp. 19-28
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We consider a large bimorph mirror which is composed of three layers: a purely elastic layer, a layer equipped with a distribution of sensor piezoelectric inclusions, and a layer equipped with a distribution of actuator piezoelectric inclusions. Such a device is modelized by a system of two coupled PDE, the first one involving a second-order operator without time derivative, and the second one being a plate equation. The controllability properties are investigated for both the 1D model and the 2D model, and an output feedback law is proposed for the stabilization of the 1D model.
DOI : 10.1051/proc:082502

Pierre Le Gall  1   ; Christophe Prieur  2   ; Lionel Rosier  1

1 Institut Elie Cartan, Université Henri Poincaré Nancy 1, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France
2 LAAS-CNRS, Université de Toulouse, 7 avenue du colonel Roche, 31077 Toulouse, France 
@article{EP_2008_25_a2,
     author = {Pierre Le Gall and Christophe Prieur and Lionel Rosier},
     title = {Exact controllability and output feedback stabilization of a bimorph mirror},
     journal = {ESAIM. Proceedings},
     pages = {19--28},
     year = {2008},
     volume = {25},
     doi = {10.1051/proc:082502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:082502/}
}
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Pierre Le Gall; Christophe Prieur; Lionel Rosier. Exact controllability and output feedback stabilization of a bimorph mirror. ESAIM. Proceedings, Tome 25 (2008), pp. 19-28. doi: 10.1051/proc:082502

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