On the stabilization of the disk-beam system via torque and direct strain feedback controls

Boumediene Chentouf, Jun Min Wang

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This note deals with the stabilization problem of a rotating disk-beam system. The proposed feedback law consists of a nonlinear torque control exerted on the disk, whereas a direct strain control is applied at the beam with a rigid offset. As a consequence, we end up with a nondissipative nonlinear hybrid PDE-ODE system and hence the existence and stability of solutions of the system cannot be addressed by using standard methods such as energy-multiplier or frequency-domain. To overcome this situation, we adopt the Riesz basis methodology and show that the closed-loop system is well-posed and stable as long as the angular velocity of the disk is less than a well-defined value related to the beam. The results are illustrated through a wide set of numerical examples.

Original languageEnglish
Article number7047787
Pages (from-to)3006-3011
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume60
Issue number11
DOIs
Publication statusPublished - Nov 1 2015

Keywords

  • direct strain control
  • Riesz basis
  • Rotating disk-beam
  • stability
  • torque control

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

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