A Novel Analytical Inverse Compensation Approach for Preisach Model

Hysteresis a non-smooth and non-differential phenomena. The inverse compensation for the purpose of removing the hysteresis effect is the most popular approach. Because the Preisach model is the widespread used hysteresis model, research on inverse compensation based on Preisach model attracts much attention. In this paper, we develop a novel analytical inverse compensation method for the Preisach model, in which we divided the Preisach model into two parts: non-memory part and memory part. Due to this division, we only need to construct the inverse of the non-memory part, which is invertible through selection of the suitable density function, instead of the whole Preisach model, which avoids to solve the inverse of the complex dual integral formulation of the Preisach model. The simulation and experimental results demonstrate the effectiveness of the proposed method.