In this paper, the adaptive control based on symbolic solution of Diophantine equation is used to suppress circular plate vibrations. It is assumed that the system to be regulated is unknown. The plate is excited by a uniform force over the bottom surface generated by a loudspeaker. The axially-symmetrical vibrations of the plate are measured by the application of the strain sensors located along the plate radius, and two centrally placed piezoceramic discs are used to cancel the plate vibrations. The adaptive control scheme presented in this work has the ability to calculate the error sensor signals, to compute the control effort and to apply it to the actuator within one sampling period. For precise identification of system model the regularized RLS algorithm has been applied. Self-tuning controller of RST type, derived for the assumed system model of the 4th order is used to suppress the plate vibration. Some numerical examples illustrating the improvement gained by incorporating adaptive control are demonstrated.

JO - Archives of Acoustics L1 - http://journals.pan.pl/Content/104443/PDF/15_paper.pdf L2 - http://journals.pan.pl/Content/104443 IS - No 4 EP - 912 KW - adaptive control KW - vibration cancellation KW - Diophantine equation KW - self-tuning control KW - RLS algorithm ER - A1 - Leniowska, Lucyna PB - Committee on Acoustics PAS, PAS Institute of Fundamental Technological Research, Polish Acoustical Society VL - vol. 36 JF - Archives of Acoustics SP - 901 T1 - An Adaptive Vibration Control Procedure Based on Symbolic Solution of Diophantine Equation UR - http://journals.pan.pl/dlibra/docmetadata?id=104443 DOI - 10.2478/v10168-011-0060-6