Synthesis of feedback controller for three selected chaotic systems by means of evolutionary techniques: Analytic programming

Synthesis of feedback controller for three selected chaotic systems by means of evolutionary techniques: Analytic programming

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Article ID: iaor20125757
Volume: 57
Issue: 1-2
Start Page Number: 57
End Page Number: 67
Publication Date: Jan 2013
Journal: Mathematical and Computer Modelling
Authors: , , ,
Keywords: simulation: applications
Abstract:

This research deals with the utilization of analytic programming for a synthesis of control law for three selected discrete chaotic systems. The novelty of the approach is that a tool for symbolic regression–analytic programming–is used for such kinds of difficult problems. The paper consists of the descriptions of analytic programming as well as chaotic systems and used cost functions. For simulations, evolutionary algorithm SOMA (Self‐Organizing Migrating Algorithm) and analytic programming were used. For each case study, repeated simulations were conducted to outline the effectiveness and robustness of used methods. All repeated simulations have given satisfactory results.

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