Bifurcation control generally means to design a controller that is capable
of modifying the bifurcation characteristics of a bifurcating nonlinear sys
tem, thereby achieving some desirable dynamical behaviors. A typical object
ive is to delay and/or stabilize an existing bifurcation, In this paper, we
consider the problem of anti-controlling bifurcations, that is, a certain
bifurcation is created at a desired location with preferred properties by a
ppropriate control. Washout-filter-aided dynamic feedback control laws are
developed for the creation of Hopf bifurcations, As Hopf bifurcations give
rise to limit cycles, anti-control of Hopf bifurcations suggests a new appr
oach for designing limit cycles with specified oscillatory behaviors into a
system via feedback control when such dynamical behaviors are desirable.