Inverse compensation for ferromagnetic hysteresis

This paper addresses the validation of an energy-based inverse compensator for hysteresis in ferromagnetic transducers. At moderate to high drive levels, such transducers exhibit significant constitutive nonlinearities and hysteresis due to domain mechanisms inherent to the constituent materials. This behavior must be accommodated to utilize the full capabilities of the transducers in high performance applications. An ODE model based on magnetostatic energy principles is employed to characterize the hysteresis and nonlinear behavior of the materials. A complementary ODE models the inverse behavior of the actuator and is employed to construct a filter which compensates for the hysteresis and permits linear control design. The capability of the model and its inverse to compensate for hysteresis in a magnetostrictive actuator is illustrated through a comparison of the input to the inverse filter with the actuator output