Stabilizing periodic orbits of chaotic systems using fuzzy control of Poincaré map

Mohammad Bonakdar, Mostafa Samadi, Hassan Salarieh and Aria Alasty

Chaos, Solitons & Fractals, 2008, vol. 36, issue 3, 682-693

Abstract: In this paper a fuzzy control algorithm is used to stabilize the fixed points of a chaotic system. No knowledge of the dynamic equations of the system is needed in this approach and the whole system is considered as a black box. Two main approaches have been investigated: fuzzy clustering and table look up methods. As illustrative examples these methods have been applied to Bonhoeffer van der Pol oscillator and the Henon chaotic system and the convergence toward fixed points is observed.

Date: 2008
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:3:p:682-693

DOI: 10.1016/j.chaos.2006.06.081

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