Modeling and control of Shape memory alloys is a hot research topic due to the non-linearity expressed as a hysteretic "shape memory effect" behavior. This book, therefore, is the first to provide different model-and behavioral-based approaches to control the SMA via the usage of the heat transfer equation as the behavioral model, to discuss a non-passivity of the material, to consider the effect of volume change in the SMA, and to control by characteristic parameter change. However, the non model-based approaches introduced lead to a robust position control of the shape memory alloy wire. The advantage of this approach that it is not temperature dependent and that it can be used to control many types of SMAs and many linear and non-linear plants with few tuning of the system parameters. This monograph gives researchers in the fields of the modeling and control of smart materials and the control of non-linear systems a good background about the SMA material, the modelling problem, and provides insights to planning applications of the material, and reusing the results in other problems.