Asymptotic synchronization of the Colpitts oscillator

Juan L. Mata-Machuca; Rafael Martnez-Guerra

doi:10.1016/j.camwa.2011.12.012

Asymptotic synchronization of the Colpitts oscillator

Juan L. Mata-Machuca, Rafael Martnez-Guerra

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper we deal with the observer-based asymptotic synchronization problem for a class of chaotic oscillators. Some results based on a differential algebraic approach are used in order to determine the algebraic observability of unknown variables. The strategy consists of proposing a slave system (observer) which tends to follow asymptotically the master system. The methodology is tested in the real-time asymptotic synchronization of the Colpitts oscillator by means of a proportional reduced order observer (PROO) of free-model type.

Original language	English
Pages (from-to)	1072-1078
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	63
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2011.12.012
State	Published - Mar 2012
Externally published	Yes

Keywords

Chaotic systems
Colpitts oscillator
Real-time asymptotic synchronization
Reduced order observer

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10.1016/j.camwa.2011.12.012

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AB - In this paper we deal with the observer-based asymptotic synchronization problem for a class of chaotic oscillators. Some results based on a differential algebraic approach are used in order to determine the algebraic observability of unknown variables. The strategy consists of proposing a slave system (observer) which tends to follow asymptotically the master system. The methodology is tested in the real-time asymptotic synchronization of the Colpitts oscillator by means of a proportional reduced order observer (PROO) of free-model type.

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KW - Real-time asymptotic synchronization

KW - Reduced order observer

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Asymptotic synchronization of the Colpitts oscillator

Abstract

Keywords

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