Analysis of Perturbed Synchronization of Piecewise Rössler Using Sliding Modes Control

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 p...

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Bibliographic Details
Published in:Revista IEEE América Latina 2015-08, Vol.13 (8), p.2482-2487
Main Authors: Lopez Mancilla, Didier, Villafana Rauda, Edgar, Garcia Lopez, Juan Hugo, Jaimes Reategui, Rider, Huerta Cuellar, Guillermo, Chiu, Roger
Format: Article
Language:English
Subjects:
Chaos
Chaos synchronization
Chaos theory
Controllers
Kalman filters
nonvanishing perturbations
Perturbation methods
Piecewise Rössler system
Robustness
Silicon
Silicon compounds
Simulation
Sliding mode control
sliding modes control
Synchronism
Synchronization
Vibration
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Summary: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.
ISSN:1548-0992
1548-0992
DOI:10.1109/TLA.2015.7331901