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Optimal Sliding Mode Control of Modular Multilevel Converters Considering Control Input Constraints

Author

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  • Homa Sheikhi Jouybary

    (School of Electrical Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran
    MIS Laboratory, University of Picardie Jules Verne, 33 rue St-Leu, 80039 Amiens, France)

  • Davood Arab Khaburi

    (School of Electrical Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran)

  • Ahmed El Hajjaji

    (MIS Laboratory, University of Picardie Jules Verne, 33 rue St-Leu, 80039 Amiens, France)

  • Augustin Mpanda Mabwe

    (SYMADE, UniLaSalle Polytechnic Institute, 14 Quai de la Somme, 80082 Amiens, France)

Abstract

This paper investigates the optimal sliding mode control (SMC) of modular multilevel converters (MMCs) by considering control input constraints. Conventional SMC methods for MMCs typically overlook the system’s constraints. To address this, an optimal SMC approach that incorporates control input constraints through quadratic programming (QP) is proposed. The control design problem is formulated in a constrained optimization framework and solved using the infeasible active-set (IAS) method to efficiently achieve the optimal solution. By applying optimal SMC, this work contributes to the advancement of SMC strategies for MMCs by addressing both constraints and performance optimization in a systematic way. This is particularly relevant for real-world applications, where controllers may temporarily exceed their limits before enforcing constraints. To validate the proposed approach, a comparative analysis with conventional SMC methods is performed, and simulation results confirm that the proposed approach provides improved performance.

Suggested Citation

  • Homa Sheikhi Jouybary & Davood Arab Khaburi & Ahmed El Hajjaji & Augustin Mpanda Mabwe, 2025. "Optimal Sliding Mode Control of Modular Multilevel Converters Considering Control Input Constraints," Energies, MDPI, vol. 18(11), pages 1-23, May.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:11:p:2757-:d:1664628
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    References listed on IDEAS

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    1. Hussein Kadhum & Alan J. Watson & Marco Rivera & Pericle Zanchetta & Patrick Wheeler, 2024. "Model Predictive Control of a Modular Multilevel Converter with Reduced Computational Burden," Energies, MDPI, vol. 17(11), pages 1-25, May.
    2. Bo-Yu Luo & Ramadhani Kurniawan Subroto & Chang-Zhi Wang & Kuo-Lung Lian, 2022. "An Improved Sliding Mode Control with Integral Surface for a Modular Multilevel Power Converter," Energies, MDPI, vol. 15(5), pages 1-18, February.
    3. Waqar Uddin & Kamran Zeb & Muhammad Adil Khan & Muhammad Ishfaq & Imran Khan & Saif ul Islam & Hee-Je Kim & Gwan Soo Park & Cheewoo Lee, 2019. "Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach," Energies, MDPI, vol. 12(21), pages 1-22, October.
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