Efficient Inverse Compensation for Hysteresis Via Homogenized Energy Models

Ferroelectric and magnetic transducers are utilized in large number of applications, including nanopositioning, fluid pumps, high-speed milling, and vibration control/suppression. However, the physical mechanisms which make these materials highly effective transducers inherently introduce nonlinear, hysteretic behavior that must be incorporated in models and control designs. This significantly complicates control designs and limits the effectiveness of linear control algorithms when directly applied to the system. One solution is to employ an exact or approximate inverse model which converts a desired output to the corresponding input. This alleviates the complex input-output relation, allowing a linear control to be applied. Linearization of the actuator dynamics in this manner permits subsequent use of linear control designs to achieve high accuracy, high speed tracking as well as vibration attenuation and positioning objectives.