We show that a combination of a resonant perturbation which induces bistabi
lity in the system with the targeting technique based on the action of a sh
ort-lived pulse perturbation makes the nonfeedback control of nonlinear sys
tems (not only in a chaotic state) more flexible and even competitive with
OGY's method in the sense of fast switching between controlled orbits belon
ging to coexisting attractors. For different initial states we present seve
ral experimental and numerical examples of such a type of control, which do
es not require feedback system.