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A Robust Model Predictive Control for a Photovoltaic Pumping System Subject to Actuator Saturation Nonlinearity

Author

Listed:
  • Omar Hazil

    (Centre de Développement des Energies Renouvelables, Algiers 16340, Algeria)

  • Fouad Allouani

    (Laboratory of SATIT, Department of Industrial Engineering, Abbes Laghrour University, Khenchela 40004, Algeria)

  • Sofiane Bououden

    (Laboratory of SATIT, Department of Industrial Engineering, Abbes Laghrour University, Khenchela 40004, Algeria)

  • Mohammed Chadli

    (IBISC, Université Paris-Saclay, Univ Evry, 91020 Evry, France)

  • Mohamed Chemachema

    (Department of Electronics, Faculty of Technology, University of Constantine 1, Campus A. Hamani, Route Ain El Bey, Constantine 25017, Algeria)

  • Ilyes Boulkaibet

    (College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait)

  • Bilel Neji

    (College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait)

Abstract

In this paper, a new robust model predictive control (RMPC) for uncertain nonlinear systems subject to actuator saturation is designed to regulate the terminal voltage of a photovoltaic generator (PVG) that feeds a DC motor-pump via a buck DC–DC converter. The considered system is a combination of a PVG-converter and DC motor-pump, which possesses nonlinear behavior along with under a saturating control signal highly dependent on the operation point and climate conditions of solar radiation and temperature. As a result, the control task is complex due to the nonlinearity of the system and its dependence on climate conditions. Based on the dead-zone property, the presented paper introduces a new RMPC technique to provide an innovative and efficient solution to ensure the closed-loop system’s robust stability in the presence of actuator nonlinearity. In this paper, the nonlinear system is described in polytypic form, and an appropriate linear feedback control law is designed and used to minimize an infinite horizon cost function under the framework of linear matrix inequalities (LMIs). Furthermore, sufficient state-feedback control law conditions are synthesized to guarantee the robust stability of the closed-loop system in the presence of polytypic uncertainties. Simulation results are provided, in which the results illustrate the effectiveness of the proposed method.

Suggested Citation

  • Omar Hazil & Fouad Allouani & Sofiane Bououden & Mohammed Chadli & Mohamed Chemachema & Ilyes Boulkaibet & Bilel Neji, 2023. "A Robust Model Predictive Control for a Photovoltaic Pumping System Subject to Actuator Saturation Nonlinearity," Sustainability, MDPI, vol. 15(5), pages 1-26, March.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:5:p:4493-:d:1086032
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    References listed on IDEAS

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    1. Li, Xingshuo & Wen, Huiqing & Hu, Yihua & Jiang, Lin, 2019. "A novel beta parameter based fuzzy-logic controller for photovoltaic MPPT application," Renewable Energy, Elsevier, vol. 130(C), pages 416-427.
    2. Ren, Fang-rong & Tian, Ze & Liu, Jingjing & Shen, Yu-ting, 2020. "Analysis of CO2 emission reduction contribution and efficiency of China’s solar photovoltaic industry: Based on Input-output perspective," Energy, Elsevier, vol. 199(C).
    3. Sofiane Bououden & Fouad Allouani & Abdelaziz Abboudi & Mohammed Chadli & Ilyes Boulkaibet & Zaher Al Barakeh & Bilel Neji & Raymond Ghandour, 2023. "Observer-Based Robust Fault Predictive Control for Wind Turbine Time-Delay Systems with Sensor and Actuator Faults," Energies, MDPI, vol. 16(2), pages 1-21, January.
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    1. Ángel Adrián Orta-Quintana & Rogelio Ernesto García-Chávez & Ramón Silva-Ortigoza & Magdalena Marciano-Melchor & Miguel Gabriel Villarreal-Cervantes & José Rafael García-Sánchez & Rocío García-Cortés , 2023. "Sensorless Tracking Control Based on Sliding Mode for the “Full-Bridge Buck Inverter–DC Motor” System Fed by PV Panel," Sustainability, MDPI, vol. 15(13), pages 1-27, June.

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