  We study in this paper the control of hysteresis-based actuator systems where
its remanence behavior (e.g., the remaining memory when the actuation signal is
set to zero) must follow a desired reference point. We present a recursive
algorithm for the output regulation of the hysteresis remnant behavior
described by Preisach operators. Under some mild conditions, we prove that our
proposed algorithm guarantees that the output remnant converges to a desired
value. Simulation result shows the efficacy of our proposed algorithm.
