High Speed FPGA Model Implementation for Ferroelectric and Ferromagnetic Transducers Operating in Hysteretic Regimes

Ferroelectric and ferromagnetic materials are employed as both actuators and sensors in a wide variety of applications including fluid pumps, nanopositioning stages, sonar transducers, vibration control, ultrasonic sources, and high-speed milling. They are attractive because the resulting transducers are solid-state and often very compact. However, the coupling of field to mechanical deformation, which makes these materials effective transducers, also introduces hysteresis and time-dependent behavior that must be accommodated in device designs and models before the full potential of compounds can be realized. Whereas a model-based control can account for these effects, the computational complexity of the model often renders this approach prohibitive. In this paper, we discuss a field programmable gate array (FPGA) implementations of the homogenized energy model for ferroelectric and ferromagnetic materials, and show that this approaches can yield up to over two orders of magnitude improvement in computation time when compared to a Pentium IV processor. Model formulations both including and neglecting thermally activated effects are considered. Email: [email protected]; Telephone: 919-854-2746 Email: [email protected]; Telephone: 919-515-7552