TOWARD EXPERIMENTAL IMPLEMENTATIONS OF MIGRATION CONTROLS

E. Atlee Jackson, Ioan Grosu · International Journal of Bifurcation and Chaos · 1995

Jackson and Grosu developed a method for controlling complex dynamic systems that employs an open-plus-closed-loop control components (the OPCL method), and proved that it is capable of entraining the dynamics of standard dynamic systems to arbitrary goal dynamics, g(t) ∈ Rn [Jackson & Grosu, 1995]. Rather than use this control for entrainment, one of us has shown [Jackson, 1995] how the OPCL can be easily employed to transfer the dynamics of a multiple-attractor system from one attractor to another ("migration controls" [Jackson, 1990]). For this purpose, a Chua-circuit model with five distinct attractors was used. In the present study we will show how to experimentally implement the OPCL migration control on such a circuit, by using prerecorded signals, which makes it possible to restrict the control action to only one dynamic component.

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