A sliding model control for an Euler-Bernoulli beam with boundary shear force feedback
Abstract
A flexible Euler-Bernoulli beam formulated by partial differential equations subject to the boundary shear force feedback is investigated in this paper. First, an abstract evolution equation corresponding to the beam system is established in an appropriate Hilbert space. Then, a spectral analysis and semigroup generation of the operator of the beam system are discussed. Finally, a sliding model control is proposed associated with an equivalent control equation, and a significant result that the solution of the beam system can be approximated by the ideal sliding mode under a sliding model control is proposed and proved.
- Published
- 2 March 2015
- Volume
- 2015 (2015)
- License
- CC BY 3.0
Copyright © 2015 Xuezhang Hou, Xiaoying Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. Hou, X. Zhang, A sliding model control for an Euler-Bernoulli beam with boundary shear force feedback, J. Semigroup Theory Appl. 2015 (2015), 1.
BibTeX
@article{Hou2015,
author = {Hou, Xuezhang and Zhang, Xiaoying},
title = {A sliding model control for an Euler-Bernoulli beam with boundary shear force feedback},
journal = {J. Semigroup Theory Appl.},
volume = {2015},
year = {2015},
pages = {1},
doi = {}
}