Minimisation of the maximum error signal in active control

This paper deals with Multiple Input Multiple Output systems for active control of acoustic signals. These systems are used when the acoustic eld is complex and therefore a number of sensors are necessary to estimate the sound eld and a number of sources to create the cancelling eld. A steepest descent iterative algorithm is applied to minimise the p-norm of a vector composed by the output signals of a microphone array. The existing algorithms deal with the 2-norm of this vector. This paper describes a general framework that covers the existing systems and then it focuses on the 1-norm minimisation algorithm. The minimax algorithm based on the 1-norm minimises the output signal which has the greatest power. It is shown by means of simulations using measured data from a real room that the minimax algorithm leads to a more uniform nal noise eld than the existing algorithms.