Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to utilize the hidden chaotic dynamics in pseudorandom sequences given by chaotic map to help differential evolution algorithm search for the best controller settings for the very same chaotic system. The optimizations were performed for three different chaotic systems, two types of case studies and developed cost functions.

Faculty of Applied Informatics Tomas Bata University in Zlin Náměstí T G Masaryka 5555 760 01 Zlin Czech Republic

Faculty of Electrical Engineering and Computer Science VŠB Technical University of Ostrava 17 Listopadu 15 Poruba 708 33 Ostrava Czech Republic

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