The increasing precision of shape and displacement required by structures in both, aerospace and precision mechanics, as well as the desire of health monitoring of damaged components, lead to the concept of structures with actuatoric and sensoric capabilities. Introduction of new actuatoric and sensoric materials permits an optimized positioning of passive and active devices. Thanks to the application of control systems, these structures may be called "adaptive". This course gives a short overview of adaptive structures, typical adaptive materials (e.g. piezoelectric and electrostrictive ceramics, piezopolymers, polymergels and shape memory alloys) as well as modeling of smart structures and discretization of coupled multi-field formulations. Finally a short introduction in the control theory including system representation in the time and frequency domain as well as basic control concepts for single-input/single-output systems are given.