Análisis de Sincronización bajo Perturbaciones de un Sistema Tipo Rössler usando Control en Modos Deslizantes (Analysis of Perturbed Synchronization of Piecewise Rössler Using Sliding Modes Control)

Didier López Mancilla (didierlman@gmail.com)1, Edgar Villafaña Rauda (edgar@culagos.udg.mx)1, Juan Hugo García López (hugo@culagos.udg.mx)1, Rider Jaimes Reátegui (rjaimes@culagos.udg.mx)1, Guillermo Huérta Cuéllar (g.huerta@lagos.udg.mx)1, Roger Chiu (rchiuzar@gmail.com)1


1Universidad de Guadalajara

This paper appears in: Revista IEEE América Latina

Publication Date: Aug. 2015
Volume: 13,   Issue: 8 
ISSN: 1548-0992


Abstract:
In this paper, an analysis for chaos synchronization under nonvanishing perturbations is presented. In particular, we use sliding modes control to synchronize perturbed chaotic systems. We will use two Piecewise Rössler systems unidirectionally coupled, the first like a master and the other like a perturbed slave. The proposed controller is able to synchronize disturbed chaotic systems, even with elimination of chattering problem. Some simulations are presented.

Index Terms:
Chaos synchronization, sliding modes control, Piecewise Rössler system, nonvanishing perturbations   


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