Boundary feedback stabilization of a variant of the SCOLE model

Boumediène Chentouf

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper deals with the boundary feedback stabilization of a variant of the SCOLE model, namely, a flexible beam clamped at one end, and free at the other end where a rigid body is attached. Using the frequency domain method, we first prove that the considered system is uniformly stabilizable if the control force and control moment are simultaneously applied at the free end of the beam. Secondly, if only a control force is applied, we give a sufficient condition on the physical parameters of the system to guarantee the uniform stabilization. Finally, it is shown that the presence of boundary control force is necessary to achieve the uniform stabilization. To verify these theoretical developments, an asymptotic analysis and numerical study of the spectrum are performed.

Original languageEnglish
Pages (from-to)201-232
Number of pages32
JournalJournal of Dynamical and Control Systems
Volume9
Issue number2
DOIs
Publication statusPublished - Apr 2003

Fingerprint

Uniform Stabilization
Boundary Stabilization
Feedback Stabilization
Force Control
Force control
Stabilization
Flexible Beam
Frequency Domain Method
Feedback
Boundary Control
Rigid Body
Asymptotic Analysis
Numerical Study
Asymptotic analysis
Verify
Moment
Necessary
Sufficient Conditions
Model

Keywords

  • Asymptotic spectral analysis
  • Boundary feedback control
  • Infinite-dimensional systems
  • SCOLE model
  • Semigroups
  • Uniform stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Boundary feedback stabilization of a variant of the SCOLE model. / Chentouf, Boumediène.

In: Journal of Dynamical and Control Systems, Vol. 9, No. 2, 04.2003, p. 201-232.

Research output: Contribution to journalArticle

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