Robust fuzzy control of a vibrating thin plate

This paper investigates the robust adaptive fuzzy control of low frequency modes of a rectangular thin plate with pointwise actuators and sensors. The control system applies a finite number of actuators and sensors to damp actively the undesirable transient vibrations of the plate. In the proposed control scheme, a robust observer based controller is first adopted to maintain loop stability while in the presence of the high-frequency unmodeled residuals. The second part of the controller is an adaptive fuzzy inference system, which is introduced to improve regulation performance. To maintain overall stability robustness, confinement imposed on the adaptive fuzzy command is performed to ensure that it will nut overshoot the permissible upper bound. Simulation results fur an all-clamped plate show that the proposed design provides efficient vibration suppression while maintaining robust stability.