A hybrid actuator composed by a piezo and a hydraulic part and with a Switching Model Predictive Control (SMPC) structure for camless engine motor applications are described in this paper. The Preisach dynamic model with a hysteresis effect is considered. Hysteresis phenomena are often present in technical systems and processes and this represents a challenging issue for their control. The approach presented in this paper is quite general and can be applied also in many other systems and processes. Simulations with real data are shown.