Development of Reduced Preisach Model Using Discrete Empirical Interpolation Method

The Preisach model, which is constructed by the superposition of relay operators, is one of the most popular hysteresis models to describe the hysteresis nonlinearities in smart-materials-based actuators. The application of the Preisach model suffers from the tradeoff between the model accuracy and the number of the relay operators. With a large number of relay operators, the Preisach model can predict the hysteretic effect very precisely; however, a large number of relay operators may lead to a heavy computation burden. To deal with this tradeoff, in this paper, a model order reduction method, namely discrete empirical interpolation method, is applied to reduce the number of the relay operators and meanwhile to preserve the model accuracy of the original Preisach model. Simulations under different conditions (different input signals and different density functions) and experimental tests on a magnetostrictive-actuated platform are conducted to validate the effectiveness of the proposed reduced Preisach model.