Title: Non-symmetrical Bouc–Wen model for piezoelectric ceramic actuators
Abstract: The existing Bouc–Wen models for piezoelectric ceramic actuators (PCAs) possess the symmetrical characteristic of the hysteretic component and can be categorized as symmetrical Bouc–Wen models. When modeling PCAs with non-symmetrical hysteresis by a symmetrical Bouc–Wen model, large modeling errors will occur. In this paper, a non-symmetrical Bouc–Wen hysteresis operator for modeling the non-symmetrical hysteresis of PCAs is established by introducing a non-symmetrical formula into the Bouc–Wen hysteresis operator. Accordingly, a non-symmetrical Bouc–Wen model for PCAs is proposed and established by modeling the non-symmetrical hysteresis component of PCAs with the non-symmetrical Bouc–Wen hysteresis operator. A corresponding parameter identification method, which can identify the parameters by obtaining analytical solutions with a set of input–output experimental data to and from a PCA with an applied periodic voltage under the zero initial condition, is established. In the parameter identification, the least-squares method is used to reduce external random disturbances. The performance of the non-symmetrical Bouc–Wen model with the corresponding parameter identification method is experimentally verified by the established experimental setup. The research results show that the non-symmetrical Bouc–Wen model can simulate the PCA with the non-symmetrical hysteresis more accurately than the symmetrical Bouc–Wen models, and the modeling errors are decreased by about 30%. In addition, the established parameter identification method can be used to identify the parameters of the non-symmetrical and symmetrical Bouc–Wen models effectively and quickly.
Publication Year: 2012
Publication Date: 2012-04-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 124
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