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

Homa Sheikhi Jouybary (), Davood Arab Khaburi (), Ahmed El Hajjaji and Augustin Mpanda Mabwe
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Homa Sheikhi Jouybary: School of Electrical Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran
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

Energies, 2025, vol. 18, issue 11, 1-23

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.

Keywords: control input constraints; sliding mode control (SMC); modular multilevel converters (MMCs); optimal SMC; quadratic programming (QP) (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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