Stabilization of multi-dimensional Kirchhoff plate with corrupted boundary observation

The boundary output feedback stabilization for a multi-dimensional Kirchhoff plate with boundary observation suffered from general external disturbance is considered. The active disturbance rejection control approach is adopted in investigation. By using this approach, the disturbance is estimated by a relatively independent estimator. The disturbance is canceled in the feedback-loop. As a result, the control law can be designed almost as same as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent; and that all subsystems in the closedloop are asymptotically stable. Some numerical simulations are provided.

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