✦ LIBER ✦

A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems

✍ Scribed by U.E. Vincent; Rongwei Guo

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 338 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2008.09.006

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✦ Synopsis

In this paper, a simple adaptive feedback control is proposed for full and reduced-order synchronization of time-varying and strictly uncertain chaotic systems. Our method uses only one feedback gain with parameter adaptation law and converges very fast even in the presence of noise. For full synchronization, a drive-response system consisting of two second-order identical parametrically excited oscillators achieve global synchronization; while for reduced-order synchronization, the dynamical evolution of a second-order parametrically driven oscillator is synchronized with the projection of a third-order timevarying chaotic system. The effectiveness of our approach is demonstrated using numerical simulations.

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