Robust  H∞ Observer-Based Tracking  Control for the Photovoltaic Pumping  System

Iliass Ouachani; Abdelhamid Rabhi; Ahmed El Hajjaji; Belkassem Tidhaf; Smail Zouggar

doi:10.4236/epe.2014.69023

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EPE> Vol.6 No.9, September 2014

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Robust H_∞ Observer-Based Tracking Control for the Photovoltaic Pumping System ()

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DOI: 10.4236/epe.2014.69023 2,678 Downloads 3,247 Views Citations

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Iliass Ouachani, Abdelhamid Rabhi, Ahmed El Hajjaji, Belkassem Tidhaf, Smail Zouggar

Affiliation(s)

Laboratory of Electrical Engineering and maintenance High School of Technology, University Mohammed First, Oujda, Morocco.
Laboratory of Embedded Electronic Systems and Renewable Energy, University Mohammed First, Oujda, Morocco.
Laboratory of Modelisation of Information and Systems, University of Picardie Jules Verne, Amiens, France.

ABSTRACT

In this paper, we propose a H_∞ robust observer-based control DC motor based on a photovoltaic pumping system. Maximum power point tracking is achieved via an algorithm using Perturb and Observe method, with array voltage and current being used to generate the reference voltage which should be the PV panel’s operating voltage to get maximum available power. A Takagi-Sugeno (T-S) observer has been proposed and designed with non-measurable premise variables and the conditions of stability are given in terms of Linear Matrix Inequality (LMI). The simulation results show the effectiveness and robustness of the proposed method.

KEYWORDS

Photovoltaic, Pumping System, Fuzzy Controller, H_∞ , Takagi-Sugino (TS) Fuzzy Model, Observer, Stability, Linear Matrix Inequalities (LMIs), Maximum Power Point Tracking (MPPT), Unmeasurable Premise Variables

Cite this paper

Ouachani, I. , Rabhi, A. , Hajjaji, A. , Tidhaf, B. and Zouggar, S. (2014) Robust H_∞ Observer-Based Tracking Control for the Photovoltaic Pumping System. Energy and Power Engineering, 6, 266-277. doi: 10.4236/epe.2014.69023.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Arrouf, M. (2007) Optimisation de l’Ensemble Onduleur, Moteur et Pompe, Branches sur un Genérateur Photo-volta?que. Thèse de Doctorat, Université Mentouri de Contrainte, Constantine.

[2]	Khalil, H.K. (2000) Universal Integral Controllers for Minimum-Phase Nonlinear System. IEEE Transactions on Automatic Control, 45, 490-494.

[3]	Elgendy, M.A., Zahawi, B. and Atkinson, D.J. (2012) Assessment of Perturb and Observe MPPT Algorithm Implementation Techniques for PV Pumping Applications. IEEE Transactions on Sustainable Energy, 3, 21-23.

[4]	Elgendy, M.A., Zahawi, B. and Atkinson, D.J. (2010) Comparison of Directly Connected and Constant Voltage Controlled Photovoltaic Pumping Systems. IEEE Transactions on Sustainable Energy, 1, 184-192.

[5]	Hadji Arab, A., Benghanem, M. and Chenlo, F. (2006) Motor-Pump System Modelization. Renewable Energy, 31, 905-913.

[6]	Elgendy, M.A., Zahawi, B. and Atkinson, D.J. (2008) Analysis of the Performance of DC Photovoltaic Jumpings Systems with Maximum Power Point Tracking. IET International Conference on Power Electronics, Machines and Drives, York, 2008, 426-430.

[7]	Akbaba, M. (2006) Optimum Matching Parameters of an MPPT Unit Based for a PVG-Powered Water Pumping System for Maximum Power Transfer. International Journal of Energy Research, 30, 395-409. http://dx.doi.org/10.1002/er.1157

[8]	Ghorbel, H., Souissi, M., El Hajjaji, A. and Chaabane, M. (2011) Design of Multi-Observers for Takagi-Sugeno Systems with Unmeasurable Premise Variables: Descriptor Approach. International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), Sousse, 18-20 December 2011, 250-256.

[9]	Ichalal, D., Marx, B., Ragot, J. and Maquin, D. (2009) State Estimation of Nonlinear Systems Using Multiple Model Approach. American Control Conference (ACC), St. Louis, 10-12 June 2009, 4636-4641.

[10]	Nagy, A., Marx, B., Mourot, G., Schutz, G. and Ragot, J. (2010) State Estimation of Two-Time Scale Multiple Models with Unmeasurable Premise Variables. Application to Biological Reactors. 49th IEEE Conférences on Décisions and Control, 15-17 December 2010, 5689-5694.

[11]	Oudghiri, M., Chadli, M. and El Hajjaji, A. (2007) One-Step Procedure for Robust Output H1 Fuzzy Control. 15th Mediterranean Conference on Control and Automation, Athens, 27-29 June 2007, 1-6.

[12]	Ouachani, I., Rabhi, A., El Hajjaji, A., Tidhaf, B. and Zouggar, S. (2013) A Robust Control Method for a DC Motor-Based Photovoltaic Pumping. Proceedings of the 3rd International Conference on System and Control, Algiers, 29-31 October 2013, 720-726.

[13]	Ouachani, I., Rabhi, A., Tidhaf, B., Zouggar, S. and Elhajjaji, A. (2013) Optimization and Control for a Photovoltaic Pumping System. 2nd International Conference on Renewable Energy Research and Applications, Madrid, 20-23 October 2013, 734-739.

[14]	Lian, K.-Y., Ouyang, Y.-L. and Wu, W.-L. (2008) Realization of Maximum Power Tracking Approach for Photovoltaic Array Systems Based on T-S Fuzzy Method. IEEE International Conference on Fuzzy Systems, Hong Kong, 1-6 June 2008, 1874-1879.

[15]	Takagi, T. and Sugeno, M. (1985) Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man and Cybernetics, SMC-15, 116-132. http://dx.doi.org/10.1109/TSMC.1985.6313399

[16]	Chiu, C.-S. (2010) T-S Fuzzy Maximum Power Point Tracking Control of Solar Power Generation Systems. IEEE Transactions on Energy Conversion, 25, 1123-1132.

[17]	Ichalal, D., Marx, B., Ragot, J. and Maquin, D. (2007) Conception de multi-observateurs variables de décision non mesurables. 2 Journes Doctorales/Journes Nationales MACS, Reims.

[18]	Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994) Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia. http://dx.doi.org/10.1137/1.9781611970777

[19]	Ichalal, D. (2009) Estimation et diagnostic de system non lineaires decrits par un modèle de Takagi-Sugeno. Institut National Polytechnique de Lorraine, Frensh.

[20]	Guerra, T., Kruszewski, A., Vermeiren, L. and Tirmant, H. (2006) Conditions of Output Stabilization for Nonlinear Models in the Takagi-Sugeno’s Form. Fuzzy Sets and Systems, 157, 1248-1259. http://dx.doi.org/10.1016/j.fss.2005.12.006

[21]	Tafticht, T., Agbossou, K., Doumbia, M.L. and Cheriti, A. (2008) An Improved Maximum Power Point Tracking Method for Photovoltaic Systems. Renew Energy, 33, 1508-1516. http://dx.doi.org/10.1016/j.renene.2007.08.015

[22]	Locment, F., Sechilariu, M. and Houssamo, I. (2010) Energy Efficiency Experimental Tests Comparison of P&O Algorithm for PV Power System. Proceedings of 14th International Power Electronics and Motion Control Conference, Ohrid, 6-8 September 2010, T12-89-T12-95.