Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane.
Elharfi, Abdelhadi (2010)
Mathematical Problems in Engineering
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Displaying similar documents to “Boundary feedback stabilization of a hybrid PDE-ODE system.”
Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane.
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The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.
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A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based...
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ESAIM: Control, Optimisation and Calculus of Variations
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A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.