A novel similarity-based hysteresis empirical model for piezoceramic actuators

• Two new phenomena have been discovered in this paper, the geometric similarity and the time-scale similarity.
• The use of the time-scale similarity can make the hysteresis model dynamic in an easy way.
• ‘Virtual extremum’ is a good way to improve the precision of the model.
• The proposed model are easily built; and saving computational time and memory space.

This paper presents a novel dynamic hysteresis model for the piezoceramic actuators. The model is based on two new phenomena discovered in this paper, the geometric similarity and the time-scale similarity. In order to improve the accuracy of the model, the method of virtual extremum is proposed to amend the similarity. In the experiments, four kinds of input signals with different frequencies are used to test the proposed model. And the outputs predicted from the proposed model are compared with those obtained from the Preisach model. The results show that the proposed model gives good accuracy and performs better than the Preisach model. Especially, with the help of the time-scale similarity it is much easier to build a dynamic model.