An I&I‐Based Observer to Solve the Output‐Feedback Synchronization Problem for a Class of Chaotic Systems

A novel robust observer, intended to solve the output‐feedback chaos synchronization problem for the Master/Slave Configuration, is proposed here. Assuming that the given Master system belongs to a specific class of feedback‐linearized systems, our solution is based on the well‐known Immersion and I...

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Bibliographic Details
Published in:Asian journal of control 2018-07, Vol.20 (4), p.1491-1503
Main Authors: Aguilar‐Ibañez, Carlos, García‐Canseco, Eloísa, Martínez‐García, Rafael, Martínez‐García, Juan Carlos, Suarez‐Castañon, Miguel Santiago
Format: Article
Language:English
Subjects:
Asymptotic methods
Chaos synchronization
Chaos theory
Computer simulation
differential primitive element
Feedback
immersion and invariance observer
Synchronism
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Summary:A novel robust observer, intended to solve the output‐feedback chaos synchronization problem for the Master/Slave Configuration, is proposed here. Assuming that the given Master system belongs to a specific class of feedback‐linearized systems, our solution is based on the well‐known Immersion and Invariance (I&I) method. The proposed observer is devoted to the asymptotic estimation of the Master system's underlying dynamics, and its effectiveness is illustrated via computer‐based simulations that involve both the so‐called Duffing's oscillator and the Genesio & Tesi system.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1650