Estabilización del caos vía control híbrido (Chaos stabilization via hybrid control)

Manuel Prian (manuel.prian@uca.es), Manuel jesus López (manueljesus.lopez@uca.es), Francisco Moreno (francisco.verdulla@uca.es)


Universidad de Cádiz
This paper appears in: Revista IEEE América Latina

Publication Date: June 2011
Volume: 9,   Issue: 3 
ISSN: 1548-0992


Abstract:
In this paper we propose a new control method which stabilizes chaotic systems in the neighborhood of unstable periodic orbits (UPO) embedded in a strange attractor. It is used for that a piecewise continuous signal generated by means of two controllers, one analogic and other digital. The hybrid control method is synthesized in an algorithm which makes easy its application. Numerical simulations with chaotic and hyperchaotic systems show satisfactory results, achieving system stabilization in the proximity of UPO´s.

Index Terms:
Analogical controller, chaos, control hypersurface, digital controller, event condition, hybrid controller, hyperchaos, piecewise continuous control signal, unstable periodic orbit.   


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