@inproceedings{fb7e5976d5fa421daf798e13188ad0f0,
title = "Lyapunov approach to the boundary stabilization of a beam equation with boundary disturbance",
abstract = "In this paper, we are concerned with the boundary output feedback stabilization of an Euler-Bernoulli beam equation with free boundary at one end and control and disturbance at the other end. A variable structure output feedback stabilizing controller is designed by the Lyapunov function approach. It is shown that the resulting closed-loop system without disturbance is associated with a nonlinear semigroup and is asymptotically stable. In addition, we show that this controller is robust to the external disturbance in the sense that the vibrating energy of the closed-loop system is also convergent to zero as time goes to infinity in the presence of finite sum of harmonic disturbance at the control end.",
keywords = "Beam equation, boundary control, disturbance rejection, stability, variable structure control",
author = "Guo, \{Bao Zhu\} and Wen Kang",
year = "2013",
month = oct,
day = "18",
language = "English",
isbn = "9789881563835",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1509--1514",
booktitle = "Proceedings of the 32nd Chinese Control Conference, CCC 2013",
address = "United States",
note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",
}