Identification of multi-input systems using simultaneous perturbation by pseudorandom input signals

Abstract

This study describes how sets of spectrally independent and uncorrelated pseudorandom perturbation signals created by a freely available MATLAB program may be used to simultaneously perturb the inputs of multi-input systems to facilitate their identification. It is shown that with appropriate choices of signals with periods N, N/2, N/4 and so on, the signals in a set have no common harmonics over the common period N, and that a very large number of sets are available in the program. The ways in which these signals may be applied is described and illustrated by two application examples.