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Adaptive gain H∞ output feedback control strategy for horizontal vibration of high-speed elevator car system based on T-S fuzzy model

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Abstract

An electric-liquid active guide shoe is designed to aim at the problem of car horizontal vibration caused by guide unevenness excitation. Considering the imprecision of system dynamic modeling caused by the change of load during high-speed elevator operation and the nonlinear factors of active guide shoe, the Takagi-Sugeno (T-S) fuzzy reasoning method is adopted to approximate the nonlinear car system model. Further, taking the car acceleration, displacement and actuator saturation as the controlled performance indexes, an adaptive gain H∞ output feedback control strategy is proposed based on the parallel distributed compensation rule (PDC) to attenuate the horizontal vibration of the car system. To illustrate the effectiveness of the controller and its robustness to load changes, the acceleration time-frequency response of 4 m/s high-speed elevator car system under light load and heavy load was analyzed, and compared with the numerical results under H2/H∞ robust control, It is further verified that the proposed H∞ output feedback controller with adaptive gain can effectively suppress the horizontal vibration of the high-speed elevator car system.

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Acknowledgements

This study was funded by the Shandong Province Natural Science Foundation, China (grant number ZR2021ME245), and the Shandong Province Natural Science Foundation, China (grant number ZR2021ME210). The authors sincerely thank the editors and reviewers for their insight and comments to further improve the quality of this manuscript.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Shandong Jianzhu University, Jinan City, China

    Ruijun Zhang, Tian Qiu & Chen Chen

Authors
  1. Ruijun Zhang
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  2. Tian Qiu
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  3. Chen Chen
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Corresponding author

Correspondence to Ruijun Zhang.

Additional information

Ruijun Zhang is currently a Professor in School of Mechanical and Electrical Engineering, Shandong Jianzhu University, Jinan. He is the author of six books and more than 90 articles. He received the B.S. degree in Mechanical Engineering from Shandong Jianzhu University, Jinan, in 1985, the M.S. degree in Mechanical Engineering from Harbin Institute of Technology, Harbin, in 1990, and the Ph.D. degree in Mechanical and Electronic Engineering form School of Automation, Beijing University of Posts and Telecommunications, China, in 2015. His research interests include multi-field coupling vibration theory, system dynamics and intelligent control.

Tian Qiu is currently pursuing the M.S. degree with School of Mechanical and Electrical Engineering, Shandong Jianzhu University, Jinan. He received the B.S. degree in Electronic and Information Engineering from Electrical and Electronic Engineering College, Shandong University of Technology, Zibo, in 2017. His current research interests include optimal control, adaptive control and intelligent control.

Chen Chen is currently pursuing the Ph.D. degree in Mechanical Engineering from Northeastern University, Shenyang. She received the B.S. degree in Mechanical Engineering from Shandong Jiaotong University, Jinan, in 2018, the M.S. degree in Mechanical Engineering from Shandong Jianzhu University in 2020. Her research interests include robust control and intelligent control.

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Zhang, R., Qiu, T. & Chen, C. Adaptive gain H∞ output feedback control strategy for horizontal vibration of high-speed elevator car system based on T-S fuzzy model. J Mech Sci Technol 37, 919–929 (2023). https://doi.org/10.1007/s12206-023-0132-3

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  • DOI: https://doi.org/10.1007/s12206-023-0132-3

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