9. Combined Optimization of Actuator/Sensor Positions and Weighting Matrices for an Active Noise Reduction System

Optimization of actuator and sensor positions is a crucial part of the design process of an active noise reduction (ANR) system. A common variant is to identify a set of actuator and sensor positions from a superset of possible locations that are specified by construction and design factors. Effective tools for this task are optimization algorithms like for example the genetic algorithm. A proven method to make the active noise control algorithm robust against disturbances and to transfer the zone of noise reduction from the error microphones to a wanted area is the implementation of weighting matrices in conjunction with a frequency domain FxLMS control algorithm. Computation of the weighting matrices is also done with the help of non-linear optimization algorithms. This paper shows a method how to combine both optimizations into one single optimization process. Furthermore, different restrictions like maximum loudspeaker actuation are taken into account. The described method is implemented for an example of an industrial working station. In this context it is compared to both a sole component optimization and a sole weighting optimization.