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The main objective of this paper consists in studying the dynamic and observation of a wave equation [1] in a bounded domain in the plan. This work is inscribed in the field of control of systems governed by partial differential equations (PDE). We consider the wave equation system with Dirichlet boundary condition whose dynamic evolves in an infinite-dimensional Hilbert space. We assume that velocity...
The finite element method is appLied to estabLish two-dimensional and three-dimensional models of elastic multi-asperity contact between the rigid plane and the coating surface. It is found that the changes of elastic modulus ratio, coating thickness, spacing of asperities and indentation depth of the rigid plane influence the total deformation and stress distribution in coating asperity and coating/substrate...
The paper proposes Luenberger-like observers for a rotating body-beam system. The latter is described by a partial differential equation and its dynamic is governed a unitary group. The observers proposed in the paper are able to reconstitute the dynamic evolution of the beam profile, by measuring the moment force on the boundary only. Meanwhile we propose a reliable numerical scheme, based on a finite...
Our paper presents an explicit infinite-dimensional Luenberger type observer for a class of vibrating systems. Further numerical investigation is undertaken for the observer based on a rotating Euler elastic beam system, including the eigenvalue distribution of the error system and the robustness of the observer. By using the finite element method numerical simulations are carried out to illustrate...
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