Nondissipative torque and shear force controls of a rotating flexible structure

Xin Chen, Boumediéne Chentouf, Jun Min Wang

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper is concerned with the feedback stabilization problem of a rotating disk with a flexible beam attached to its center. We propose a torque control applied on the disk and a shear force control exerted at the free end of the beam which lead to a nondissipative closed-loop system. Despite this situation, we prove that the system can be nonuniformly exponentially stabilized provided that the angular velocity of the disk is less than the square root of the first eigenvalue of the self-adjoint positive operator of the open-loop system. This result is illustrated by a set of numerical simulations.

Original languageEnglish
Pages (from-to)3287-3311
Number of pages25
JournalSIAM Journal on Control and Optimization
Volume52
Issue number5
DOIs
Publication statusPublished - 2014

Fingerprint

Flexible Structure
Flexible structures
Force Control
Force control
Torque
Rotating
Flexible Beam
Rotating Disk
Feedback Stabilization
Torque control
First Eigenvalue
Positive Operator
Rotating disks
Angular velocity
Self-adjoint Operator
Square root
Closed loop systems
Closed-loop System
Stabilization
Feedback

Keywords

  • Exponential stability
  • Nondissipative boundary shear force control
  • Rotating flexible structure
  • Torque control

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

Cite this

Nondissipative torque and shear force controls of a rotating flexible structure. / Chen, Xin; Chentouf, Boumediéne; Wang, Jun Min.

In: SIAM Journal on Control and Optimization, Vol. 52, No. 5, 2014, p. 3287-3311.

Research output: Contribution to journalArticle

Chen, Xin ; Chentouf, Boumediéne ; Wang, Jun Min. / Nondissipative torque and shear force controls of a rotating flexible structure. In: SIAM Journal on Control and Optimization. 2014 ; Vol. 52, No. 5. pp. 3287-3311.
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