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Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity

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Abstract

For the piezoelectric actuator model with hysteretic nonlinearity, a second-order sliding mode tracking controller is proposed. First, a second-order nonlinear dynamic model is introduced for the piezoelectric actuator. Next, a second order sliding mode control law with dual-phase sliding movement is designed. Then, the system stability is proved with a theorem. From theoretical analysis, the feedback control system is stable in the sense that all signals involved are bounded. The simulation results show the validity of the proposed method for this kind of nonlinear dynamic model of the piezoelectric actuator.

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Authors and Affiliations

  1. Institute of Computer Science and Technology, Yantai University, Yantai Shandong Province, 264005, China

    Diantong Liu & Weiping Guo

  2. China Astronautics Standards Institute, Beijing, 100071, China

    Wei Wang

Authors
  1. Diantong Liu
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  2. Weiping Guo
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  3. Wei Wang
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Corresponding author

Correspondence to Diantong Liu.

Additional information

Recommended by Associate Editor Si-Hyung Lim

Diantong Liu received a B.S. in Electrical engineering from Shandong Institute of Technology, China, in 1994, an M.S. in Mechanical Engineering from Tianjin University, China, in 2001, and a Ph.D in Control Engineering from the Institute of Automation, Chinese Academy of Sciences, China, in 2004. Currently, he is a professor of the Institute of Computer Science and Technology, Yantai University. His main research interests include intelligent control, nonlinear system control and mechanical system control.

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Liu, D., Guo, W. & Wang, W. Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity. J Mech Sci Technol 27, 199–205 (2013). https://doi.org/10.1007/s12206-012-1209-6

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  • DOI: https://doi.org/10.1007/s12206-012-1209-6

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