Study on the Time-Scale Similarity of Bouc-Wen Hysteresis Model

Abstract

Abstract. This paper will focus on Bouc-Wen hysteresis model to study the time-scale similarity of the hysteresis. Considering different hysteresis characteristics of Bouc-Wen model, this paper studies the time-scale similarity between the output curves of different hysteresis characteristics under the excitation of the triangular waves with different frequencies, and the Euclidean distance function is used to measure the curve similarity. The time-scale similarity proposed in this paper will contribute to establishing a dynamic similarity model, which is without complex operation and don't need a lot of storage space.

A Hybrid Feedforward-Feedback Hysteresis Compensator in Piezoelectric Actuators Based on Least-Squares Support Vector Machine

“…Since the characteristic of the piezoelectric hysteresis depends not only on the amplitude but also on the frequency of input voltage signals, traditional rate-independent hysteresis models could yield errors subject to dynamic inputs with different frequencies [6]- [12]. To characterize the rate-dependent hysteresis, some models were put forward, such as the improved Preisach model [13], [14], improved Prandtl-Ishlinskii model [15], [16], and time series similarity model [17]- [19]. However, these models have a lot of parameters to be determined, which complicate the modeling process.…”