  Steering of attractors in multistable systems is used to increase the
available parameter domains which lead to stable dynamics in nonlinear physical
systems, reducing substantially undesirable effects of parametric inaccuracy
and noise. The procedure proposed here uses time and/or space asymmetric
perturbations to move independent multistable attractors in phase space.
Applying this mechanism we increase around 230% the stable domains in H\'enon's
map, roughly 85% in the ratchet current described by the Langevin equation and
60% in Chua's electronic circuit. The proposal is expected to have wide
applications in generic nonlinear complex system presenting multistability, so
that related experiments can increase robustness under parametric inaccuracy
and noise.
