THE OPCL CONTROL METHOD FOR ENTRAINMENT, MODEL-RESONANCE, AND MIGRATION ACTIONS ON MULTIPLE-ATTRACTOR SYSTEMS

A survey is given of three different control objectives rat can be ach ieved with the use of the Open-Plus-Closed-Loop (OPCL) control method, developed by Jackson and Grosu. For a system that can be characterize d by N first-order ordinary differential equations, these objectives a re: (I) the asymptotic entraintment of the system's dynamics to a pres cribed ''goal'' dynamics, g(t); (2) an experimental-search method to d etermine an approximate dynamic model; (3) the transferal of the syste m from one attractor to any ''target'' attractor. For one class of sys tems, this may be accomplished without a model, by using only a short- duration record of the natural dynamics in the target attractor, as de monstrated experimentally using the Chua system. (C) 1997 American Ins titute of Physics.