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Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level

Author

Listed:
  • Jian Zhao

    (Navigation College, Dalian Maritime University, Dalian 116026, China)

  • Xianku Zhang

    (Navigation College, Dalian Maritime University, Dalian 116026, China)

  • Yilin Chen

    (Navigation College, Dalian Maritime University, Dalian 116026, China)

  • Pengrui Wang

    (Navigation College, Dalian Maritime University, Dalian 116026, China)

Abstract

This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a case analysis on the capabilities of controlling water level for a single tank. The principle of robust control and the theories and detailed algorithm of Lyapunov stability were applied to assess the result derived by novel nonlinear feedback in the form of sine function for optimizing the robustness of the PID (Proportional–Integral–Derivative) controller and economizing energy. Two control simulations are compared: nonlinear feedback control using a sine function and conventional fuzzy control. The results reveal that using the nonlinear feedback controller, a reduction of up to 32.9% of the average controlled quantity is achieved, and the performance index is improved by 24.0% with satisfactory robustness. The proposed nonlinear feedback control using a sine function provides simplicity, convenient implementation, and energy efficiency.

Suggested Citation

  • Jian Zhao & Xianku Zhang & Yilin Chen & Pengrui Wang, 2021. "Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level," Energies, MDPI, vol. 14(22), pages 1-11, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:22:p:7602-:d:678726
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    References listed on IDEAS

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    1. Martín-Antonio Rodríguez-Licea & Francisco-Javier Pérez-Pinal & Jose-Cruz Nuñez-Perez & Carlos-Alonso Herrera-Ramirez, 2018. "Nonlinear Robust Control for Low Voltage Direct-Current Residential Microgrids with Constant Power Loads," Energies, MDPI, vol. 11(5), pages 1-20, May.
    2. Le Nhu Ngoc Thanh Ha & Duc Hong Phuc Bui & Sung Kyung Hong, 2019. "Nonlinear Control for Autonomous Trajectory Tracking While Considering Collision Avoidance of UAVs Based on Geometric Relations," Energies, MDPI, vol. 12(8), pages 1-20, April.
    3. Yuqiang Tian & Bin Wang & Diyi Chen & Shaokun Wang & Peng Chen & Ying Yang, 2019. "Design of a Nonlinear Predictive Controller for a Fractional-Order Hydraulic Turbine Governing System with Mechanical Time Delay," Energies, MDPI, vol. 12(24), pages 1-16, December.
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