A note on stabilization of a hybrid PDE-ODE system

Boumediène Chentouf

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper deals with 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 when control force and control moment are simultaneously applied at the free end of the beam. Secondly when 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 uniform stabilization. To verify these theoretical developments, an asymptotic analysis and numerical study of the spectrum are conducted.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages137-142
Number of pages6
Volume1
Publication statusPublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 4 2001

Other

Other40th IEEE Conference on Decision and Control (CDC)
CountryUnited States
CityOrlando, FL
Period12/4/0112/4/01

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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  • Cite this

    Chentouf, B. (2001). A note on stabilization of a hybrid PDE-ODE system. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 137-142)