Open Access Open Access  Restricted Access Subscription or Fee Access

A New Robust Adaptive Fuzzy Sliding Mode Controller for a Variable Speed Wind Turbine

El Mehdi Mellouli(1*), Zakaria Chalh(2), Mohammed Alfidi(3), Ismail Boumhidi(4)

(1) LESSI laboratory, Department of physics, Faculty of sciences Dhar El Mehraz, Morocco
(2) LISA, Engineering Laboratory, Systems and Applications, National School of Applied Sciences, Morocco
(3) LISA, Engineering Laboratory, Systems and Applications, National School of Applied Sciences, Morocco
(4) LESSI laboratory, Department of physics, Faculty of sciences Dhar El Mehraz, Morocco
(*) Corresponding author



In this paper, we present a novel adaptive fuzzy sliding mode controller without reaching phase and chattering problems for a variable speed wind turbine with unknown dynamic parts. The approach is based on modifying the sliding domain equation through the use of logarithmic functions. The adaptive fuzzy law Takagi-Sugeno (TS) model is used to approximate the unknown dynamic parts. In this model, only the rotor speed is available, an asymptotic fuzzy observer is used to approximate the unknown rotor acceleration which is needed to synthesize the control law. The stability and effectiveness of the proposed control law are proved and the simulation is given to demonstrate the superiority of the proposed approach in comparison with the previous one, in terms of settling time, tracking accuracy, energy consumption and smoothness of the control input.
Copyright © 2015 Praise Worthy Prize - All rights reserved.


Variable Speed Wind Turbine; Adaptive Fuzzy Technique; Sliding Mode without Reaching Phase; Triangular Observer; Lyapunov Stability

Full Text:



A.G.Aissaoui, A.Tahour, M.Abid, N. Essounbouli, F. Nollet. Power Control of Wind Turbine based on Fuzzy Controllers. Energy Procedia, Vol.42, pp. 63–172, 2013.

A. Sellami, D. Arzelier, R. M’hiri, J. Zrida, A Sliding Mode Control Approach for Systems Subjected to a Norm-Bounded Uncertainty, International Journal of Robust and Nonlinear Control, Vol. 17(Issue 4):327-346, 2007.

J.P.Barbot, T. Boukhobza, and M. Djemai .Triangular input observer form and sliding mode observer. IEEE CDC, pp.1489-1491, 1996.

C. Mi, M. Filippa, J. Shen, and N. Natarajan. Modeling and control of variable speed constant frequency synchronous generator with brushless exciter. IEEE Transactions on industry application, Vol.40, no.2, pp.565-573, 2004.

H. Chih-Ming, H. Cong-Hui, C. Fu-Sheng. Sliding Mode Control for Variable-speed Wind Turbine Generation Systems Using Artificial Neural Network. Energy Procedia,Vol.61, pp. 1626-1629, 2014.

N. Golea, A.Golea, and K. Benmahammed. Fuzzy Model Reference Adaptive Control. Fuzzy Sets and Systems, Vol.137, no.3, pp.353-366, 2003.

H.Lee , and M. Tomizuka. Robust Adaptive Control using a Universal Approximator for SISO Nonlinear Systems, IEEE Transaction on Fuzzy Systems, Vol.8, pp.95-106, 2001.

J.F. Manwell, J.G. Mcgowan, and A.L. Rogers.Wind energy explained: theory, design and applications, John Wiley & Sons , 2002

E. M. Mellouli, J. Boumhidi, and I. Boumhidi. Using fuzzy logic for eliminating the reaching phase on the fuzzy H_∞tracking control”. Int. J.Modelling, Identification and Control, Vol.20, no.4, pp. 398 – 406, 2013.

E. M. Mellouli, S Sefriti and I. Boumhidi. Combined fuzzy logic and sliding mode approach's for modeling and control of the two link robot. International Conference on Complex Systems (ICCS), IEEE.pp.1-6, 2012.

E. M. Mellouli, S Sefriti and I. Boumhidi. Optimal Robust Adaptive Fuzzy H_∞ Tracking Control without Reaching Phase for Nonlinear System. Journal of Control Science and Engineering. Vol. 2013, Article ID 498461,7pages.2013

J. Mérida, Luis T.Aguilar, J. Dávila. Analysis and synthesis of sliding mode control for large scale variable speed wind turbine for power optimization. Renewable Energy, Vol.71, no.11, pp.715-728, 2014.

G. Ofualagba, and E.U. Ubeku.Wind energy conversion system-wind turbine modeling, Power and Energy Society General Meeting-Conversion and Delivery of Electrical Energy in the 21st Century, IEEE, pp.1-8, 2008.

Y. Wang, and A.F. Lynch. Observer design using a generalized time-scaled block triangular observer form. Systems & Control Letters, Vol.58, no.5, pp.346-352 , 2009

C. Yilmaz, and Y. Hurmuzlu. Eliminating the reaching phase from variable structure control. Journal of Dynamic Systems, Measurement, and Control: Transactions using the ASME Vol.122, no.4, pp.753–757, 2000.

Meo, S., Sorrentino, V., Discrete-time integral variable structure control of grid-connected PV inverter, (2015) Journal of Electrical Systems, 11 (1), pp. 102-116. Cited 4 times.

Meo, S., Sorrentino, V., Discrete–time integral sliding mode control with disturbances compensation and reduced chattering for PV grid–connected inverter, (2015) Journal of Electrical Engineering, 66 (2), pp. 61-69.

Meo, S., Sorrentino, V., Zohoori, A., Vahedi, A., Second-order sliding mode control of a smart inverter for renewable energy system, (2014) International Review of Electrical Engineering (IREE), 9 (6), pp. 1090-1096.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2019 Praise Worthy Prize