  This paper presents a methodology of controlling the resonance energy
exchange in mechanical system consisting of two weakly coupled magnetic
pendulums interacting with the magnetic field generated by coils placed
underneath. It is shown that properly guided magnetic fields can effectively
change mechanical potentials in a way that the energy flow between the
oscillators takes the desired direction. Studies were considered by using a
specific set of descriptive functions characterizing the total excitation
level, its distribution between the pendulums, and the phase shift. The
developed control strategies are based on the observation that, in the case of
antiphase oscillation, the energy is moving from the pendulum subjected to the
repelling magnetic field, to the oscillator under the attracting field. In
contrast, during the inphase oscillations, the energy flow is reversed.
Therefore, closed-loop controller requires only the information about phase
shift, which is easily estimated from dynamic state signals through the
coherency index. Advantage of suggested control strategy is that the temporal
rate of inputs is dictated by the speed of beating, which is relatively slow
compared to the carrying oscillations.
