Stabilization and disturbance rejection for the wave equation
Proceedings of the IEEE Conference on Decision and Control
IEEE, Piscataway, NJ, United States
1776 - 1777
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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.
Control system analysis