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

Omar Hazil, Fouad Allouani, Sofiane Bououden (), Mohammed Chadli, Mohamed Chemachema, Ilyes Boulkaibet and Bilel Neji
Additional contact information
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

Sustainability, 2023, vol. 15, issue 5, 1-26

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.

Keywords: photovoltaic pumping system; DC–DC buck converter; robust model predictive control; nonlinear system; actuator saturation; linear matrix inequalities; polytypic system (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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