Biccari, UmbertoZuazua, Enrique2025-10-142025-10-142022-07Biccari, & Zuazua. (2022). Multilevel selective harmonic modulation by duality. IFAC-PapersOnLine, 55(16), 56-61. https://doi.org/10.1016/J.IFACOL.2022.08.08110.1016/J.IFACOL.2022.08.081https://hdl.handle.net/20.500.14454/3956Ponencia presentada en el 18 IFAC Workshop on Control Applications of Optimization CAO, celebrado en Gif sur Yvette, France, entre el 18 y 22 de julio de 2022We address the Selective Harmonic Modulation (SHM) problem in power electronic engineering, consisting in designing a multilevel staircase control signal with some prescribed frequencies to improve the performances of a converter. In this work, SHM is addressed through an optimal control methodology based on duality, in which the admissible controls are piecewise constant functions, taking values only in a given finite set. To fulfill this constraint, the cornerstone of our approach is the introduction of a special penalization in the cost functional, in the form of a piece-wise affine approximation of a parabola. In this manner, we build optimal multilevel controls having the desired staircase structure.eng@ 2022 the authorsDualityMultilevel controlsOptimal control theoryPiece-wise affine penalizationSelective harmonic modulationconference paper2025-10-142405-8963