Modeling and stabilization of a rotating mechanical system with elastic plates
Optimization and Control
2019-02-08 v2
Abstract
A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a system of coupled nonlinear ordinary and partial differential equations. The operator form of this system is represented as an abstract differential equation in a Hilbert space. A feedback control law is constructed such that the corresponding infinitesimal generator is dissipative.
Cite
@article{arxiv.1801.09151,
title = {Modeling and stabilization of a rotating mechanical system with elastic plates},
author = {Alexander Zuyev and Julia Novikova},
journal= {arXiv preprint arXiv:1801.09151},
year = {2019}
}
Comments
A preprint version of the manuscript accepted for MATHMOD 2018 (9th Vienna International Conference on Mathematical Modelling, February 21-23, 2018)