Lyapunov-Based Continuous-Time MPC for DC-DC Boost Converter Control in Photovoltaic Systems

Lyapunov-Based Continuous-Time MPC for DC-DC Boost Converter Control in Photovoltaic Systems

Sanae EL BOUASSI, El mehdi MELLOULI, Zakaria CHALH, Mustapha EL YAQOUTI, El Hanafi ARJDAL

Abstract. The objective of the current work is to enhance the performance of a grid-connected photovoltaic (PV) system by creating a dependable continuous-time model predictive control (CT-MPC) method. The suggested controller uses a Lyapunov-based formulation within the model predictive control (MPC) framework, and the photovoltaic (PV) panel has been meticulously modeled. In the process, dynamic performance is improved, and system stability is guaranteed. To improve power management and guarantee steady performance in a variety of environmental circumstances, this control strategy is used to a DC-DC boost converter. The simulation findings from this study provide empirical evidence for the effectiveness of the proposed method. The results demonstrate that the proposed method is more efficient, resilient, and flexible than conventional control methods.

Keywords
Active and Reactive Power, Boost Converter, Lyapunov Approach, Model predictive Control, Photovoltaic Systems

Published online 4/25/2026, 5 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Sanae EL BOUASSI, El mehdi MELLOULI, Zakaria CHALH, Mustapha EL YAQOUTI, El Hanafi ARJDAL, Lyapunov-Based Continuous-Time MPC for DC-DC Boost Converter Control in Photovoltaic Systems, Materials Research Proceedings, Vol. 64, pp 411-415, 2026

DOI: https://doi.org/10.21741/9781644904091-51

The article was published as article 51 of the book Energy Futures

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] Fahad Faraz Ahmad, Chaouki Ghenai, Abdul Kadir Hamid, Maamar Bettayeb, Application of sliding mode control for maximum power point tracking of solar photovoltaic systems: A comprehensive review.
[2] Ahmed, J., & Salam, Z. (2015). An improved perturb and observe (P&O) maximum power point tracking (MPPT) algorithm for higher efficiency. https://doi.org/10.1016/j.apenergy.2015.04.006
[3] Kim, I.-S. (2007). Robust maximum power point tracker using sliding mode controller for the three-phase grid-connected photovoltaic system, Solar Energy, 81, 405?414. https://doi.org/10.1016/j.solener.2006.04.005
[4] Sanae, E., Zakaria, C., El Mehdi, M. (2023). New optimum Lipschitz sliding mode control for variable speed wind turbine, International Review of Automatic Control (I.RE.A.CO.), pp. 208-216. https://doi.org/10.15866/ireaco.v16i4.23714
[5] Panagiotis, E., Antonios, G., Stefanos, N. (2011). Fast Photovoltaic System Voltage or Current Oriented MPPT Employing a Predictive Digital CurrentControlled Converter, IEEE.
[6] Koutroulis, E., Kalaitzakis, K., Voulgaris, N.C. (2001). Development of a microcontroller-based photovoltaic maximum power point tracking control system, IEEE Transactions on Power Electronics. https://doi.org/10.1109/63.903988
[7] Kuo, Y.C., Liang, T.J., Chen, J.F. (2001). Novel maximum-power-point tracking controller for photovoltaic energy conversion system, IEEE Transactions on Industrial Electronics.
[8] El Bouassi, S., El Afou, Y., Chalh, Z., & Mellouli, E. M. (2024). Optimized triangular observer based adaptive supertwisting sliding mode control for wind turbine system. IAES International Journal of Artificial Intelligence (IJ-AI), 13(4), 4229-4240 https://doi.org/10.11591/ijai.v13.i4.pp4229-4240