  Partial control is a technique used in systems with transient chaos. The aim
of this control method is to avoid the escape of the orbits from a region Q of
the phase space where the transient chaotic dynamics takes place. This
technique is based on finding a special subset of Q called the safe set. The
chaotic orbit can be sustained in the safe set with a minimum amount of
control. In this work we develop a control strategy to gradually lead any
chaotic orbit in Q to the safe set by using the safety function. With the
technique proposed here, the safe set can be converted into a global attractor
of Q.
