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Disturbance Observer and L 2 -Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

Author

Listed:
  • Xiangxiang Meng

    (School of Automation, Qingdao University, Qingdao 266071, China)

  • Haisheng Yu

    (School of Automation, Qingdao University, Qingdao 266071, China)

  • Tao Xu

    (School of Automation, Qingdao University, Qingdao 266071, China)

  • Herong Wu

    (School of Automation, Qingdao University, Qingdao 266071, China)

Abstract

This paper proposes a fresh state error feedback linearization control method with disturbance observer (DOB) and L 2 gain for a quadruple-tank liquid-level system. Firstly, in terms of the highly nonlinear and strong coupling characteristics of the quadruple-tank system, a state error feedback linearization technique is employed to design the controller to achieve liquid-level position control and tracking control. Secondly, DOB is purposed to estimate uncertain exogenous disturbances and applied to compensation control. Moreover, an L 2 -gain disturbance attenuation technology is designed to resolve one class of disturbance problem by uncertain parameter perturbation existing in the quadruple-tank liquid-level system. Finally, compared with the classical proportion integration differentiation (PID) and sliding mode control (SMC) methods, the extensive experimental results validate that the proposed strategy has good position control, tracking control, and disturbance rejection performances.

Suggested Citation

  • Xiangxiang Meng & Haisheng Yu & Tao Xu & Herong Wu, 2020. "Disturbance Observer and L 2 -Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System," Energies, MDPI, vol. 13(20), pages 1-20, October.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:20:p:5500-:d:431961
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    References listed on IDEAS

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    1. Masoud Pourasghar & Vicenç Puig & Carlos Ocampo-Martinez, 2019. "Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(3), pages 495-516, February.
    2. Arkadiusz Mystkowski & Andrzej Kierdelewicz, 2018. "Fractional-Order Water Level Control Based on PLC: Hardware-In-The-Loop Simulation and Experimental Validation," Energies, MDPI, vol. 11(11), pages 1-15, October.
    3. Himanshukumar R. Patel & Vipul A. Shah, 2019. "Stable Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study," Energies, MDPI, vol. 12(11), pages 1-22, June.
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