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Stabilization of an Euler–Bernoulli beam equation via a corrupted boundary position feedback

Author

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  • Li, Lei
  • Jia, Xinchun
  • Liu, Jiankang

Abstract

In this paper, we are concerned with the stabilization of an Euler–Bernoulli beam equation with a constant disturbance on the boundary observation. A dynamic boundary controller is designed by using only the displacement measurement. We obtain that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated function is shown to be convergent to the unknown disturbance as time goes to infinite.

Suggested Citation

  • Li, Lei & Jia, Xinchun & Liu, Jiankang, 2015. "Stabilization of an Euler–Bernoulli beam equation via a corrupted boundary position feedback," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 648-653.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:648-653
    DOI: 10.1016/j.amc.2015.08.071
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