On Generalized Dynamic Preisach Operator With Application to Hysteresis Nonlinear Systems

The behavior of hysteresis as a controlled plant obviously changes with not only the history of input, but also the compressive stress and excitation rate experienced. In this paper, a generalized dynamic Preisach operator is proposed for describing the dynamic hysteresis nonlinearity under varying compressive stress, excitation rate, as well as their couple effect, which can also be expanded for other varying factors, such as temperature, etc.. The developed operator features introducing the dependence of the density function on the compressive stress and excitation rate to the classical Preisach operator by a multi-criteria decision-making evaluation framework. The parameter identification scheme employing a fuzzy tree method is investigated to formulate the inverse compensator. On accounting of application, a feedback control scheme combined with a feedforward compensator is implemented to a magnetostrictive smart structure for real-time precise trajectory tracking. Both simulations and experiments demonstrate the proposed operator and corresponding control scheme a dramatically improved performance of mitigating the effects of hysteresis.