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

Adaptive-passive vibration and acoustic control systems can provide significant attenuation without requiring significant power compared to an active control system. The control system includes an algorithm to evaluate a costfunction 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 slidingGoertzel 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.