The OPCL control method for entrainment, model-resonance, and migration actions on multiple-attractor systems.
A survey is given of three different control objectives that can be achieved with the use of the Open-Plus-Closed-Loop (OPCL) control method, developed by Jackson and Grosu. For a system that can be characterized by N first-order ordinary differential equations, these objectives are: (1) the asymptotic entrainment of the system's dynamics to a prescribed "goal" dynamics, g(t); (2) an experimental-search method to determine an approximate dynamic model; (3) the transferal of the system from one attractor to any "target" attractor. For one class of systems, this may be accomplished without a model, by using only a short-duration record of the natural dynamics in the target attractor, as demonstrated experimentally using the Chua system. (c) 1997 American Institute of Physics.
Jackson
E. Atlee
EA
Department of Physics and Center for Complex Systems Research, Beckman Institute, University of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, Illinois 61801-3080.