Chaos driven evolutionary algorithms for the task of PID control

Authors:
Donald Davendra;Ivan Zelinka;Roman Senkerik
Affiliations:
Tomas Bata University in Zlin, Faculty of Applied Informatics, Department of Informatics and Artificial Intelligence, Nad Stranemi 4511, Zlin 76001, Czech Republic;Faculty of Electrical Engineering and Computing Science, Technical University of Ostrava, Tr. 17. Listopadu 15, Ostrava, Czech Republic and Tomas Bata University in Zlin, Faculty of Applied Inform ...;Tomas Bata University in Zlin, Faculty of Applied Informatics, Department of Informatics and Artificial Intelligence, Nad Stranemi 4511, Zlin 76001, Czech Republic
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

Chaos driven Differential Evolution algorithm and Self-Organizing Migrating Algorithm are presented in this paper for the task of PID (Proportional-Integral-Derivative) controller optimization. The dissipative chaotic Lozi map is embedded as a number generator inside DE and SOMA in order to avoid local optima stagnation and embed a superior search strategy. Three unique PID controller problems are presented and successfully resolved using these new approaches. The obtained results compare favorably with published results.