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Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems. (English) Zbl 1122.93311
Summary: 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.

MSC:
93B05 Controllability
93C10 Nonlinear systems in control theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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