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Maximum Power Extraction of Photovoltaic Systems Using Dynamic Sliding Mode Control and Sliding Observer

Author

Listed:
  • Ali Karami-Mollaee

    (Electrical and Computer Engineering Faculty, Hakim Sabzevari University, Sabzevar 9617976487, Iran)

  • Oscar Barambones

    (Automatic Control and System Engineering Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain)

Abstract

In this paper, a robust optimized controller is implemented in the photovoltaic generator system (PVGS). The PVGS is composed of individual photovoltaic (PV) cells, which convert solar energy to electrical energy. To optimize the efficiency of the PVGS under variable solar irradiance and temperatures, a maximum power point tracking (MPPT) controller is necessary. Additionally, the PVGS output voltage is typically low for many applications. To achieve the MPPT and to gain the output voltage, an increasing boost converter (IBC) is employed. Then, two issues should be considered in MPPT. At first, a smooth control signal for adjusting the duty cycle of the IBC is important. Another critical issue is the PVGS and IBC unknown sections, i.e., the total system uncertainty. Therefore, to address the system uncertainties and to regulate the smooth duty cycle of the converter, a robust dynamic sliding mode control (DSMC) is proposed. In DSMC, a low-pass integrator is placed before the system to suppress chattering and to produce a smooth actuator signal. However, this integrator increases the system states, and hence, a sliding mode observer (SMO) is proposed to estimate this additional state. The stability of the proposed control scheme is demonstrated using the Lyapunov theory. Finally, to demonstrate the effectiveness of the proposed method and provide a reliable comparison, conventional sliding mode control (CSMC) with the same proposed SMO is also implemented.

Suggested Citation

  • Ali Karami-Mollaee & Oscar Barambones, 2025. "Maximum Power Extraction of Photovoltaic Systems Using Dynamic Sliding Mode Control and Sliding Observer," Mathematics, MDPI, vol. 13(14), pages 1-19, July.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2305-:d:1704921
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    References listed on IDEAS

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    1. Abdelhady Ramadan & Salah Kamel & I. Hamdan & Ahmed M. Agwa, 2022. "A Novel Intelligent ANFIS for the Dynamic Model of Photovoltaic Systems," Mathematics, MDPI, vol. 10(8), pages 1-14, April.
    2. Wei Wang & Yaolin Dong & Yue Liu & Ripeng Li & Chunsheng Wang, 2024. "Inductor Current-Based Control Strategy for Efficient Power Tracking in Distributed PV Systems," Mathematics, MDPI, vol. 12(24), pages 1-17, December.
    3. Ali Karami-Mollaee & Oscar Barambones, 2023. "Higher Order Sliding Mode Control of MIMO Induction Motors: A New Adaptive Approach," Mathematics, MDPI, vol. 11(21), pages 1-16, November.
    4. Hengqiang Wang & Guangming Zhang & Xiaojun Liu, 2024. "Sensorless Control of Surface-Mount Permanent-Magnet Synchronous Motors Based on an Adaptive Super-Twisting Sliding Mode Observer," Mathematics, MDPI, vol. 12(13), pages 1-15, June.
    5. Ali Karami-Mollaee & Oscar Barambones, 2024. "On Neural Observer in Dynamic Sliding Mode Control of Permanent Magnet Synchronous Wind Generator," Mathematics, MDPI, vol. 12(14), pages 1-18, July.
    6. Tuan Ngoc Tran Cao & Binh Thanh Pham & No Tan Nguyen & Duc-Lung Vu & Nguyen-Vu Truong, 2024. "Second-Order Terminal Sliding Mode Control for Trajectory Tracking of a Differential Drive Robot," Mathematics, MDPI, vol. 12(17), pages 1-13, August.
    7. Rabeh Abbassi & Salem Saidi, 2024. "Design of a Novel Chaotic Horse Herd Optimizer and Application to MPPT for Optimal Performance of Stand-Alone Solar PV Water Pumping Systems," Mathematics, MDPI, vol. 12(4), pages 1-26, February.
    8. Quanmin Zhu & Jianhua Zhang & Zhen Liu & Shuanghe Yu, 2025. "Robust Higher-Order Nonsingular Terminal Sliding Mode Control of Unknown Nonlinear Dynamic Systems," Mathematics, MDPI, vol. 13(10), pages 1-23, May.
    9. Boyan Huang & Kai Song & Shulin Jiang & Zhenqing Zhao & Zhiqiang Zhang & Cong Li & Jiawen Sun, 2024. "A Robust Salp Swarm Algorithm for Photovoltaic Maximum Power Point Tracking Under Partial Shading Conditions," Mathematics, MDPI, vol. 12(24), pages 1-17, December.
    10. Girgis, Meena E. & Elkhateeb, Nasr A., 2024. "Enhancing photovoltaic MPPT with P&O algorithm performance based on adaptive PID control using exponential forgetting recursive least squares method," Renewable Energy, Elsevier, vol. 237(PC).
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