Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems

Guilin Wen and Daolin Xu

Chaos, Solitons & Fractals, 2005, vol. 26, issue 1, 71-77

Abstract: Projective synchronization, characterized by a scaling factor that two coupled systems synchronize proportionally, is usually observable in a class of nonlinear dynamical systems with partial-linearity. We show that, by using an observer-based control, the synchronization could be realized in a general class of chaotic systems regardless of partial-linearity. In addition, this technique overcomes some limitations in previous work, capable to achieve a full-state synchronization with a specified scaling factor, and adjust the scaling factor arbitrarily in due course of control without degrading the controllability. Feasibility of the technique is illustrated for a chaotic circuit converter and the Chen’s attractor.

Date: 2005
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:1:p:71-77

DOI: 10.1016/j.chaos.2004.09.117

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