A Robust H_∞ State Feedback Controller For Mppt Control Based On The Mean Value Theorem
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DOI:
https://doi.org/10.59287/ijanser.111Keywords:
Photovoltaic (PV) System, Maximum Power Point Tracking (MPPT),, MVT Model, Linear Matrix Inequalities (LMIS)Abstract
This paper presents a new strategy for a maximum power point (MPP) tracking MVT controller for photovoltaic (PV) systems subject to atmospheric condition variations. A DC-DC boost converter is used to connect a PV panel with an output load. The output voltage of the DC-DC boost converter can be adjusted by duty ratio that is limited between two values. The objective of our control design is to track the MPP. To minimize and stabilize the tracking error with disturbance effect, the dynamic behaviour of a PV system and its reference model are described by using men value theorem (MVT) and sector linearity’s (SNL). Then, a robust PI-controller based on state feedback control is proposed. The control approach design is used to establish the stability conditions of the closed-loop system which is formulated and solved using Lyapunov theory that are transformed in terms of linear matrix inequalities LMI s. Finally, simulation results are given to show the tracking performance of the control design.
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V. Khare, S. Nema, P. Baredar, “Solar–wind hybrid renewable energy system: A review”, Renewable and Sustainable Energy Reviews, Vol.58, pp. 23-33, 2016
R. Ingudam, R. Nayak, “Modelling and performance analysis of dc-dc converters for PV grid connected system”, International Journal of Science, Engineering and Technology Research, Vol. 4, No. 5, pp. 1378-1390, 2015
R. Faranda, S. Leva, “Energy comparison of MPPT techniques for PV systems”, WSEAS Transactions on Power Systems, Vol. 3, No. 6, pp.446-455, 2008
G. Vijay, D. K. Palwalia, “A novel analysis and modeling of boost and buck converter”, International Journal of Electronics, Electrical and Computational System, Vol. 6, No. 3, 2017
M. S. Jamri, T. C. Wei, “Modeling and control of a photovoltaic energy system using the state-space averaging technique”, American Journal of Applied Sciences, Vol. 7, No. 5, pp. 682–691, 2010
S. Jain, V. Agarwal, “A new algorithm for rapid tracking of approximate maximum power point in photovoltaic systems”, IEEE Power Electronics Letters, Vol. 2, No. 1, pp. 16-19, 2004
D. A. Fernandes, M. K. Vieira, M. A. Vitorina, F. F. Costa, P. C. Ribeiro, “Modeling and state-space feedback control of a DC-DC converter for photovoltaic systems”, 2014 IEEE Energy Conversion Congress and Exposition (ECCE), Pittsburgh, USA, September 14-18,2014
M. C. Mira, A. Knott, O. C. Thomsen, M. A. E. Andersen, “Boost converter with combined control loop for a stand-alone photovoltaic battery charge system”, 14th Workshop on Control and Modeling for Power Electronics, Salt Lake City, USA, June 23-26, 2013
K. Kassmi, M. Hamdaoui, F. Olivie, “Conception et modélisation d’un systeme photovoltaique adapte par une commande MPPT analogique”,Revue des Energies Renouvelables, Vol. 10, No. 4, pp. 451-462, 2007 (in French)
R. Faranda, S. Leva, “Energy comparison of MPPT techniques for PV systems”, WSEAS Transactions on Power Systems, Vol. 3, No. 6, pp.446-455, 2008
M. Y. Hammoudi, A. Allag, M. Becherif, M. Benbouzid, and H.Alloui, “Observer design for induction motor: an approach based on the mean value theorem,” Frontiers in Energy, vol. 8, no. 4, pp. 426-433, 2014.
R. Ingudam, R. Nayak, “Modelling and performance analysis of dc-dc converters for PV grid connected system”, International Journal of Science, Engineering and Technology Research, Vol. 4, No. 5, pp. 1378-1390, 2015.
Dahmane M, Bosche J, El-Hajjaji A, et al. (2013) T-S implementation of an MPPT algorithm for photovoltaic conversion system using poles placement and HN performances. In: Proceedings of the 3rd international conference on systems and control, Algiers, 2013, 29–31 October 2013, pp. 1116–1121
Chiu CS and Ouyang YL (2011) Robust maximum power tracking control of uncertain photovoltaic systems: a unified T-S fuzzymodel-based approach. IEEE Transactions on Control SystemsTechnology 19(6): 1516–1526.
Ajaamoum M, Kourchi M, Bouachrine B, et al. (2015) Comparison of Takagi–Sugeno fuzzy controller and the command ‘‘P & O’’ for extracting the maximum power from a photovoltaic system. International Journal of Innovation and Applied Studies 10(1): 192-206.
Saifia D, Chadli M, Labiod S, et al. (2020) Robust HN static output feedback control for discrete-time fuzzy systems with actuator saturation via fuzzy Lyapunov functions. Asian Journal of Control 22(2): 611–623.
