PDE control of a rotating shear beam with boundary feedback
Date
2009-08
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Source Title
European Control Conference, ECC 2009
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Publisher
IEEE
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Pages
856 - 861
Language
English
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Abstract
We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results. © 2009 EUCA.
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Backstepping , Boundary control , Flexible systems , Kernel functions , Partial differential equations , Shear beam , Volterra transformation , Backstepping , Differential equations , Flexible structures , Integral equations , Boundary controls , Flexible system , Kernel function , Shear beams , Volterra