Adaptive Stabilization of a Kirchhoff Moving String

Abdelkarim Kelleche*, Nasser eddine Tatar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper, the adaptive stabilization of a nonlinear moving string of “Kirchhoff” type with high gain adaptive output feedback type is investigated. The model that we have adopted is more general than the one adopted in the previous studies. The concept of this type of control allows the system to be dissipative. We show that the gain function is bounded and then we prove under this result that the system is exponentially stable.

Original languageEnglish
Pages (from-to)255-263
Number of pages9
JournalJournal of Dynamical and Control Systems
Volume26
Issue number2
DOIs
StatePublished - 1 Apr 2020

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Adaptive stabilization
  • Exponential stability
  • Kirchhoff moving string
  • Multiplier technique

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Algebra and Number Theory
  • Numerical Analysis
  • Control and Optimization

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