Synchronization of linear piecewise chaotic systems using sliding mode control

We present an algorithm to synchronize, under the master/slave configuration, a class of piecewise linear chaotic systems known as Sprott systems. The synchronization objective is to obtain identical synchronization between the master and slave systems in spite of the existence of external perturbat...

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Bibliographic Details
Published in:Journal of physics. Conference series 2005-01, Vol.23 (1), p.309-316
Main Authors: Almeida, D avid I Rosas, Alvarez, Joaquín, Barajas, Juan Gonzalo
Format: Article
Language:English
Subjects:
Algorithms
Chaos theory
Closed loops
Feedback control
Perturbation
Physics
Robustness (mathematics)
Sliding mode control
Synchronism
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Summary:We present an algorithm to synchronize, under the master/slave configuration, a class of piecewise linear chaotic systems known as Sprott systems. The synchronization objective is to obtain identical synchronization between the master and slave systems in spite of the existence of external perturbations and parametric variations. The sliding control technique is used to design the coupling signal. This discontinuous controller renders the closed loop system robust with respect to matched bounded disturbances and to terms produced by parametric variations. The performance of the proposed controlled synchronization is illustrated numerically and experimentally.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/23/1/032