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

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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.

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Authors and Affiliations

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

    Meiju Yang, Chunxia Li, Guoying Gu & Limin Zhu

Authors
  1. Meiju Yang
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  2. Chunxia Li
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  3. Guoying Gu
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  4. Limin Zhu
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Correspondence to Limin Zhu.

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Yang, M., Li, C., Gu, G. et al. A rate-dependent Prandtl-Ishlinskii model for piezoelectric actuators using the dynamic envelope function based play operator. Front. Mech. Eng. 10, 37–42 (2015). https://doi.org/10.1007/s11465-015-0326-1

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  • DOI: https://doi.org/10.1007/s11465-015-0326-1

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