Identification of hysteresis using adaptive Preisach model

Abstract

This paper presents a novel numerical model of the rate-dependent hysteresis. The model has the structure of adaptive linear combiner (ALC) where the states of magnetization of the discretized Preisach plane constitute the input signal sequence of ALC. An adaptive update law with forgetting scheme is designed to update the coefficients of the ALC model to capture rate-dependent behavior of the hysteresis. An input-output behavior of a bimorph type piezo ceramic actuator has been selected as the experimental target to verify accuracy of the proposed hysteresis modeling scheme and the results clarify that the proposed model shows excellent performance for sinusoidal inputs having frequency lower than the resonance of the actuator. Results will be deteriorated for higher frequencies where phase lag might be observed in the corresponding output displacement response of the actuator. However, it has also been shown that appropriate use of FIR filter to the input sequence of ALC largely restores modeling accuracy for those frequencies.

Keywords

• hysteresis
• piezoelectric actuator
• preisach model
• affine projection algorithm
• system identification
• fir filter