An adaptive control method for magnetostrictive transducers with hysteresis

Addresses the development of an adaptive control strategy for regulating the output of a prototypical magnetostrictive transducer. The application is a generalization of an industrial process in which the magnetostrictive transducer is used to drive a cutting head in a high speed, high accuracy mode of operation. To attain the required stroke and force requirements, the transducer must operate in a regime in which the relation between input currents and output strains or forces exhibits significant hysteresis and constitutive nonlinearities including saturation effects. A variety of techniques for modeling the hysteresis and transducer dynamics are discussed and a model reference adaptive control (MRAC) strategy based on a Preisach model is developed. The performance of the control method is illustrated through a numerical example.