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

Lei Li, Xinchun Jia and Jiankang Liu

Applied Mathematics and Computation, 2015, vol. 270, issue C, 648-653

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.

Keywords: Boundary control; Disturbance; Euler–Bernoulli beam equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:648-653

DOI: 10.1016/j.amc.2015.08.071

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