Kun-Yi Yang, Jing-Jing Li, Jie Zhang
Abstract:
In this article, we study the stabilization of an Euler-Bernoulli
beam equation with variable coefficients where boundary observation
is subject to a time delay. To resolve the mathematical complexity
of variable coefficients, we design an observer-predictor based on
the well-posed open-loop system: the state of system is estimated
with available observation and then predicted without observation.
We show that the closed-loop system is stable exponentially under
estimated state feedback by a numerical simulation illustrating
our results.
Submitted December 30, 2014. Published March 24, 2015.
Math Subject Classifications: 35J10, 93C20, 93C25.
Key Words: Euler-Bernoulli beam equation; variable coefficients;
time delay; observer; feedback control; exponential stability.
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Kun-Yi Yang College of Science North China University of Technology Beijing 100144, China email: kyy@amss.ac.cn |
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Jing-Jing Li College of Science North China University of Technology Beijing 100144, China email: 350572566@qq.com |
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Jie Zhang College of Science North China University of Technology Beijing 100144, China email: jzhang26@ncut.edu.cn |
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