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Mechanical Sciences An open-access journal for theoretical and applied mechanics

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Mech. Sci., 9, 177-188, 2018
https://doi.org/10.5194/ms-9-177-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
23 Apr 2018
A Modified Prandtl-Ishlinskii Hysteresis Modeling Method with Load-dependent Delay for Characterizing Magnetostrictive Actuated Systems
Ying Feng1, Zhi Li2, Subhash Rakheja3, and Hui Jiang4 1School of Automation Science and Engineering, Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology, Guangzhou, 510640, China
2Institute of Mechanics, Otto-von-Guericke Universität Magdeburg, Magdeburg, 39106, Germany
3Department of Mechanical, Industrial & Aerospace Engineering, Concordia University, Montreal, Quebec, H3G 1M8, Canada
4School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China
Abstract. The actuating precision of a micro-positioning system, driven by a magnetostrictive actuator, is adversely limited by its nonlinearities, particularly the output-input hysteresis, which are further affected by the operating load and input frequency. In this paper, the output-input properties of a magnetostrictive actuated system are experimentally characterized considering a wide range of operating frequencies and loads. The measured data revealed that the hysteresis behaviour is strongly affected with a change of operating load, and a modified Prandtl-Ishlinskii model with load-dependent delay is subsequently formulated to describe the nonlinear characteristics of the magnetostrictive actuated system in terms of major and minor loop hysteresis, and output magnitude and phase responses. The proposed model integrates a load-delay function related to the load mass with the Prandtl-Ishlinskii hysteresis model so as to fully describe the coupled nonlinear delay effects of the system output. The validity of the proposed model is demonstrated through comparisons with the experimental data for a range of operating loads and frequencies. It is shown that the proposed model can accurately describe the load-dependent hysteresis effects of the magnetostrictive actuated system up to certain input frequencies.
Citation: Feng, Y., Li, Z., Rakheja, S., and Jiang, H.: A Modified Prandtl-Ishlinskii Hysteresis Modeling Method with Load-dependent Delay for Characterizing Magnetostrictive Actuated Systems, Mech. Sci., 9, 177-188, https://doi.org/10.5194/ms-9-177-2018, 2018.
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