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Adaptive Stabilization of a Kirchhoff Moving String

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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.

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Authors and Affiliations

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

    Abdelkarim Kelleche

  2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Nasser-eddine Tatar

Authors
  1. Abdelkarim Kelleche
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  2. Nasser-eddine Tatar
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Correspondence to Abdelkarim Kelleche.

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Kelleche, A., Tatar, Ne. Adaptive Stabilization of a Kirchhoff Moving String. J Dyn Control Syst 26, 255–263 (2020). https://doi.org/10.1007/s10883-019-09453-6

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  • DOI: https://doi.org/10.1007/s10883-019-09453-6

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