Control of hysteretic systems through inverse compensation

Inverse compensation is a fundamental technique in the control of systems with hysteresis. In this expository article, we present algorithms for constructing the inverse of the Preisach operator, a hysteresis model with application to magnetics, smart materials, terrestrial hydrology, and economics. Adaptive inverse control is discussed for cases where hysteresis parameters are not known precisely. To meet the demand of highly dynamic applications, an embedded inversion approach is presented that exploits the parallelism offered by FPGAs.