Analytic and experimental studies of a wavelet identification of Preisach model of hysteresis

Preisach model has enjoyed extensive applications in describing the hystere sis phenomena. An important open question in the analysis of hysteresis usi ng Preisach models is the determination of the model parameters and is refe rred as the identification problem. However, no general mathematical method s appear to be available for identification and customized identification a lgorithms must be developed for each specific area of applications. In orde r to describe physical systems more closely, it becomes increasingly diffic ult to derive the Preisach function and its associated parameters from the experimental results as the complexity of hysteresis models increases. This paper presents a new approach - a wavelet identification of Preisach model . Since a wavelet can generate a basis for all functions with finite energy , in this application the system output and the Preisach functions are repr esented by using wavelet approximation. The coefficients of the wavelet app roximation expansion can be obtained by a series of experimental data. The modeling and prediction of hysteresis can be done by manipulating the wavel et series. Some comparison of experimental and computational results are al so presented in this paper. (C) 2000 Elsevier Science B.V. All rights reser ved.