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Nonlinear Control of Hydrostatic Thrust Bearing Using Multivariable Optimization

Author

Listed:
  • Waheed Ur Rehman

    (College of Mechanical Engineering and Applied Electronics Technologies, Beijing University Technology, Beijing 100124, China
    Department of Electrical Engineering, Foundation University Islamabad, Islamabad 44000, Pakistan)

  • Wakeel Khan

    (Department of Electrical Engineering, Foundation University Islamabad, Islamabad 44000, Pakistan)

  • Nasim Ullah

    (Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia)

  • M. D. Shahariar Chowdhury

    (Faculty of Environmental Management, Prince of Songkla University, Hat Yai 90110, Thailand
    Environmental Assessment and Technology for Hazardous Waste Management Research Center, Faculty of Environmental Management, Prince of Songkla University, Hat Yai 90110, Thailand)

  • Kuaanan Techato

    (Faculty of Environmental Management, Prince of Songkla University, Hat Yai 90110, Thailand
    Environmental Assessment and Technology for Hazardous Waste Management Research Center, Faculty of Environmental Management, Prince of Songkla University, Hat Yai 90110, Thailand)

  • Muhammad Haneef

    (Department of Electrical Engineering, Foundation University Islamabad, Islamabad 44000, Pakistan)

Abstract

This research work is focused on the nonlinear modeling and control of a hydrostatic thrust bearing. In the proposed work, a mathematical model is formulated for a hydrostatic thrust bearing system that includes the effects of uncertainties, unmodelled dynamics, and nonlinearities. Depending on the type of inputs, the mathematical model is divided into three subsystems. Each subsystem has the same output, i.e., fluid film thickness with different types of input, i.e., viscosity, supply pressure, and recess pressure. An extended state observer is proposed to estimate the unavailable states. A backstepping control technique is presented to achieve the desired tracking performance and stabilize the closed-loop dynamics. The proposed control technique is based on the Lyapunov stability theorem. Moreover, particle swarm optimization is used to search for the best tuning parameters for the backstepping controller and extended state observer. The effectiveness of the proposed method is verified using numerical simulations.

Suggested Citation

  • Waheed Ur Rehman & Wakeel Khan & Nasim Ullah & M. D. Shahariar Chowdhury & Kuaanan Techato & Muhammad Haneef, 2021. "Nonlinear Control of Hydrostatic Thrust Bearing Using Multivariable Optimization," Mathematics, MDPI, vol. 9(8), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:903-:d:538778
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    Cited by:

    1. Waheed Ur Rehman & Xingjian Wang & Zeeshan Hameed & Muhammad Yasir Gul, 2023. "Motion Synchronization Control for a Large Civil Aircraft’s Hybrid Actuation System Using Fuzzy Logic-Based Control Techniques," Mathematics, MDPI, vol. 11(7), pages 1-15, March.

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