Magnetic shape memory alloys are promising materials for several applications, such as positioning systems. This book presents the main features of those materials, and then addresses the problem of controlling magnetic shape memory positioning actuators. Two control approaches are introduced, namely a PID control and an adaptive control based on adaptive hysteresis compensation. They are able to handle the presence of hysteresis in the input-output characteristic. The adaptive approach also handles the temperature-dependent behaviour of the nonlinearity. Experimental results performed on several actuator prototypes demonstrate the effectiveness of the control approaches presented here.