Boundary control of a rotating shear beam with observer feedback
Date
2012
Authors
Dog̃an, M.
Morgül, O.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
JVC/Journal of Vibration and Control
Print ISSN
1077-5463
Electronic ISSN
Publisher
Sage Publications
Volume
18
Issue
14
Pages
2257 - 2265
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We consider a flexible structure modeled as a shear beam which is free to rotate on the horizontal plane. We first model the system by using partial differential equations and we propose boundary feedback laws to achieve set-point regulation of the rotation angle as well as to suppress elastic vibrations. The main advantage of the proposed design, which consists of a decoupling controller together with an observer, is that it is easy to implement. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We show that with the proposed controller, the control objectives are satisfied.