Stabilization and disturbance rejection for the wave equation

Date
1994
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Source Title
Proceedings of the 33rd IEEE Conference on Decision and Control, IEEE 1994
Print ISSN
0191-2216
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Publisher
IEEE
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Pages
1776 - 1777
Language
English
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Abstract

We consider a system described by the one dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer function appropriately.

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