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Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control

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Abstract

This paper concerns with the stabilization of an axially moving beam by an adaptive boundary control. We prove existence and uniqueness of the solution by means of nonlinear semigroup theory. Moreover, we construct the control through a low-gain adaptive velocity feedback. We also prove that the designed control is able to stabilize exponentially the closed loop system. Some numerical simulations are given to illustrate the theoretical results.

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Authors and Affiliations

  1. Faculté des Sciences et de la Technologie, Université Djilali Bounâama, Route Theniet El Had, Soufay, 44225, Khemis Miliana, Algeria

    Abdelkarim Kelleche

  2. Department of Engineering, University of Borås, SE-501 90, Borås, Sweden

    Fardin Saedpanah

Authors
  1. Abdelkarim Kelleche
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  2. Fardin Saedpanah
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Correspondence to Abdelkarim Kelleche.

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Kelleche, A., Saedpanah, F. Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control. J Dyn Control Syst 29, 1037–1054 (2023). https://doi.org/10.1007/s10883-022-09632-y

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  • DOI: https://doi.org/10.1007/s10883-022-09632-y

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