A new cost function algorithm for adaptive-passive vibration and acoustic resonators

Abstract

Adaptive-passive vibration and acoustic control systems can provide significant attenuation without requiring signifi-cant power compared to an active control system. The control system includes an algorithm to evaluate a cost-function to be minimised, which is typically a time-averaged multiplication of the vibration or noise on the resonator and at a point in the system where the disturbance is to be minimised. This conventional algorithm of cost-function evaluation is suitable for simple systems. A new cost-function evaluation algorithm is proposed based on the sliding- Goertzel algorithm, that is tolerant of multiple harmonics and high background broadband noise. The algorithm was demonstrated on an experimental rig of an adaptive tuned vibration neutraliser and a two-stage vibration isolation system.