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In this paper, an optimal type-2 fuzzy logic proportional integral derivative controller based on sliding mode controller (IT2FL-PID-SMC) is designed for a wind turbine with variable speed. The major aim of this work is to overcome the deficiencies of the classical sliding mode controller. In this study, the sliding mode controller presented is modified; the sliding surface is replaced by the type-2 fuzzy proportional integral derivative controller. The type-2 fuzzy system is used to improve the classical sliding mode control efficiency and the robustness. The proposed (IT2FL-PID-SMC) can be used to reach strong stability as well as increase the variable speed wind turbine performance. The reliability and consistency of the proposed approach is assessed by completing simulations and analyzing comparisons with the classical SMC. The simulation results are clearly indicated the effectiveness and the validity of the proposed method, in terms of precision and time of convergence.

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The work deals finite frequency H_∞ control design for continuous time nonlinear systems, we provide sufficient conditions, ensuring that the closed-loop model is stable. Simulations will be gifted to show level of attenuation that a H_∞ lower can be by our method obtained developed where further comparison.

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