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Novel Power-Rate Reaching Law for Quasi-Sliding Mode Control

Author

Listed:
  • Katarzyna Adamiak

    (Institute of Automatic Control, Lodz University of Technology, 18 Bohdana Stefanowskiego St., 90-537 Lodz, Poland)

  • Andrzej Bartoszewicz

    (Institute of Automatic Control, Lodz University of Technology, 18 Bohdana Stefanowskiego St., 90-537 Lodz, Poland)

Abstract

This study elaborates on the quasi-sliding mode control design for discrete time dynamical systems subject to matched external disturbances and modeling uncertainties. In order to provide finite time convergence to the sliding surface and at the same time restrict the control effort, we propose a novel power-rate reaching law utilizing a hyperbolic tangent function. The construction of the reaching law ensures that when the distance between the representative point of the system and the sliding surface is significant then the convergence pace is limited, which results in a reduced control effort. However, as the representative point of the system approaches the sliding surface, the convergence pace increases. Moreover, the study adopts a non-switching-type definition of the sliding motion, which eliminates undesirable chattering effects in the sliding phase. In order to reduce the impact of external disturbances on the system, the model following approach is taken, which allows for the rejection of all but the last disturbance value.

Suggested Citation

  • Katarzyna Adamiak & Andrzej Bartoszewicz, 2022. "Novel Power-Rate Reaching Law for Quasi-Sliding Mode Control," Energies, MDPI, vol. 15(15), pages 1-14, July.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:15:p:5446-:d:873451
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    References listed on IDEAS

    as
    1. Zhenjie Gong & Xin Ba & Chengning Zhang & Youguang Guo, 2022. "Robust Sliding Mode Control of the Permanent Magnet Synchronous Motor with an Improved Power Reaching Law," Energies, MDPI, vol. 15(5), pages 1-13, March.
    2. Mehmetcan Gursoy & Guangping Zhuo & Andy G. Lozowski & Xin Wang, 2021. "Photovoltaic Energy Conversion Systems with Sliding Mode Control," Energies, MDPI, vol. 14(19), pages 1-20, September.
    3. Peng Gao & Guangming Zhang & Xiaodong Lv, 2021. "Model-Free Control Using Improved Smoothing Extended State Observer and Super-Twisting Nonlinear Sliding Mode Control for PMSM Drives," Energies, MDPI, vol. 14(4), pages 1-15, February.
    4. Paweł Latosiński & Andrzej Bartoszewicz, 2021. "Zero-Width Quasi-Sliding Mode Band in the Presence of Non-Matched Uncertainties," Energies, MDPI, vol. 14(11), pages 1-16, May.
    5. Saleh Mobayen & Farhad Bayat & Chun-Chi Lai & Asghar Taheri & Afef Fekih, 2021. "Adaptive Global Sliding Mode Controller Design for Perturbed DC-DC Buck Converters," Energies, MDPI, vol. 14(5), pages 1-12, February.
    6. Xiaoyuan Wang & Yaopeng Zhang & Peng Gao, 2020. "Design and Analysis of Second-Order Sliding Mode Controller for Active Magnetic Bearing," Energies, MDPI, vol. 13(22), pages 1-14, November.
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