Smart wave filtering method of a rectangular panel using Hilbert transformers and itsapplication to an adaptive control system

Abstract

This paper concerns the active vibration control of a rectangular panel using smart sensorsfrom the viewpoint of an active wave control theory. The objective of this paperis to present a new type of filter which enables the measurement of the waveamplitude of a rectangular panel in real time for the application of an adaptivefeedforward control system which inactivates vibration modes. Firstly, a novel wavefiltering method using smart PVDF sensors is proposed. It is found that the shapingfunction of smart sensors is a complex function. To realize the smart sensor in apractical situation, a Hilbert transformer is utilized to implement a phase shifter of90° for broadband frequencies. Then, from the viewpoint of a numerical analysis, thecharacteristics of the proposed wave filter and the performance of the adaptive feedforwardcontrol system using the wave filter are discussed. Finally, experiments implementing theactive wave control theory which uses the proposed wave filter are conducted,demonstrating the validity of the proposed method in suppressing the vibration of arectangular panel.