Stabilization of memory type for a rotating disk–beam system

Boumediène Chentouf

Applied Mathematics and Computation, 2015, vol. 258, issue C, 227-236

Abstract: In this article, a rotating disk–beam system is considered. Specifically, the system consists of a flexible beam and a rigid disk which rotates with a time-varying angular velocity. The beam, free at one end and clamped at the other one to the center of the disk, is supposed to rotate with the disk in another plane perpendicular to that of the disk. To stabilize the system, we propose a feedback law which consists of a control torque applied on the disk, while either a boundary or distributed internal control with memory is exerted on the beam. Then, it is shown, in both cases, that the closed-loop system is stabilized under suitable conditions on the angular velocity and the memory terms.

Keywords: Rotating disk–beam structure; Torque control; Control with memory term; Stability (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:227-236

DOI: 10.1016/j.amc.2015.01.048

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