Abstract

This paper addresses the identification of linear dynamic systems using a new hybrid topology based on firefly algorithm with addition of fixed nonlinearities in the delta domain. The global search is carried out by the bacterial foraging algorithm (BFA), while the firefly algorithm (FA) is used to fine-tune solutions in hybrid topology. For identification in the delta domain, a test system with different polynomial nonlinearities was used. Delta operator presents a unified approach for system modelling, matching continuous and discrete-time results at a high sampling rate. An unbiased signal, contaminated with white noise, was taken up as an input for the estimation of unknown parameters of the models as well as coefficients of the polynomial nonlinearities. Not only does the hybrid algorithm outperform the originator heuristics of which it is made up, but it also outshines some of the latest approaches to heuristics recorded in the literature.

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