A rate-dependent Prandtl-Ishlinskii model for piezoelectric actuators using the dynamic envelope function based play operator

doi:10.1007/s11465-015-0326-1

Front. Mech. Eng.

2015, Vol. 10

Issue (1) : 37-42 https://doi.org/10.1007/s11465-015-0326-1

RESEARCH ARTICLE

A rate-dependent Prandtl-Ishlinskii model for piezoelectric actuators using the dynamic envelope function based play operator

Meiju YANG,Chunxia LI,Guoying GU,Limin ZHU(

)

State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

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Abstract

In this paper, a novel rate-dependent Prandtl-Ishlinskii (P-I) model is proposed to characterize the rate-dependent hysteresis nonlinearity of piezoelectric actuators. The new model is based on a modified rate-dependent play operator, in which a dynamic envelope function is introduced to replace the input function of the classical play operator. Moreover, a dynamic density function is utilized in the proposed P-I model. The parameters of the proposed model are identified by a modified particle swarm optimization algorithm. Finally, experiments are conducted on a piezo-actuated nanopositioning stage to validate the proposed P-I model under the sinusoidal inputs. The experimental results show that the developed rate-dependent P-I model precisely characterize the rate-dependent hysteresis loops up to 1000 Hz.

Keywords piezoelectric actuators hysteresis Prandtl-Ishlinskii rate-dependent

Corresponding Author(s): Limin ZHU

Online First Date: 11 February 2015 Issue Date: 01 April 2015

Cite this article:

Meiju YANG,Chunxia LI,Guoying GU, et al. A rate-dependent Prandtl-Ishlinskii model for piezoelectric actuators using the dynamic envelope function based play operator[J]. Front. Mech. Eng., 2015, 10(1): 37-42.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-015-0326-1
https://academic.hep.com.cn/fme/EN/Y2015/V10/I1/37

Fig.1 Experimental setup

Fig.2 Measured hysteresis loops of the piezoelectric actuator under sinusoidal inputs with different frequencies

Fig.3 Comparison of the measured hysteresis loops with those predicted from the rate-independent P-I model under the sinusoidal input signals at 10, 200, 600 and 1000 Hz

Fig.4 Comparison of the measured hysteresis loops with those predicted from the rate-dependent P-I model under the sinusoidal input signals at 10, 200, 600 and 1000 Hz

Tab.1 RMS errors of the rat e-independent P-I model and the rate-dependent P-I model at different sinusoidal frequencies

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