Stabilization and disturbance rejection for the beam equation

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Stabilization and disturbance rejection for the beam equation.pdf (219.54 KB)

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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Article

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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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Keywords

Boundary control systems, Distributed parameter systems, Disturbance rejection, Flexible structures, Semigroup theory, Stability, Asymptotic stability, Flexible structures, Partial differential equations, Transfer functions, Beam equations, Distributed parameter control systems

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http://hdl.handle.net/11693/24781

Published Version (Please cite this version)

http://dx.doi.org/10.1109/9.975475

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Scholarly Publications - Electrical and Electronics Engineering