Evolutionary optimisation of Hénon map control: a black box approach

Roman Senkerik, Ivan Zelinka, Donald Davendra and Zuzana Oplatkova

International Journal of Operational Research, 2012, vol. 13, issue 2, 129-146

Abstract: This paper deals with the usage of heuristics for the optimisation of the control of chaotic system. The main aim of this paper is to show a new approach of solving this problem and constructing new cost functions (CFs) operating in 'black box mode' without a previous exact mathematical analysis of the system, thus without knowledge of the stabilising target state. Three proposals of 'black box' mode CFs were tested in this paper. As a model of deterministic chaotic system, the two-dimensional Hénon map was used. The optimisations were realised in several ways, each one for another desired state of system. Evolutionary algorithms (EAs) self-organising migrating algorithm and differential evolution were used. For each version, repeated simulations were conducted to outline the effectiveness and robustness of the used method and CF.

Keywords: optimisation; chaos control; EAs; evolutionary algorithms; differential evolution; SOMA; self-organising migrating algorithm; heuristics; simulation. (search for similar items in EconPapers)
Date: 2012
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