Dissipativity-based control of plate vibrations by piezoelectric sensors and actuators
Kurt Schlacher, Andreas Kugi · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
Piezoelectric devices represent an important new group of actuators and senors for active vibration control systems. Indeed, this technology allows to construct spatially distributed devices. A mathematical model of a multilayered piezoelectric plate, which takes hysteresis and polarization of the piezoelectric laminae into account, is presented. Passive control for Lagrangian systems is used to derive a class of stabilizing control laws, which are based on the collocation of sensors and actuators. Therefore, the design of the spatial distribution of the sensors/actuators is considered as a part of the controller synthesis.