Stabilization and disturbance rejection for the wave equation

Date

1994

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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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Proceedings of the 33rd IEEE Conference on Decision and Control, IEEE 1994

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IEEE

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Published Version (Please cite this version)

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English