Stabilization and disturbance rejection for the beam equation

Date
2001
Authors
Morgül, Ö.
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Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
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Publisher
IEEE
Volume
46
Issue
12
Pages
1913 - 1918
Language
English
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Abstract

We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the disturbance rejection problem.

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