Smart Material Structures addresses modeling parameter estimation and control in smart material systems. This has applications in structural systems, structural acoustics, fluid/structure interactions, vibration absorbers in machine, helicopter rotor design, and many other areas. This monograph discusses implementation and experimental changes with rigorous mathematical presentation. The authors provide a mathematical frame to be used when designing controllers, focusing on systems in which structural vibrations or interactions with adjacent fields are controlled using surface-mounted Piezoceramic actuators and sensors are correct in detail.