T-S fuzzy sliding mode control for double-fed induction generator-based wind energy system with a membership function-dependent [formula omitted]-approach

Abstract

This study is mainly concerned with fuzzy integral sliding mode control (FISMC) design for double-fed induction generator (DFIG)-based wind energy system (WES) under membership function-dependent H∞ approach. To do this, a nonlinear DFIG based WES is considered with exogenous load torque variation. Then, by utilizing Takagi–Sugeno fuzzy approach, the proposed nonlinear system can be expressed as a sum of local sub-models with the help of IF-THEN rules. A suitable FISMC is designed with a reaching law condition for the proposed DFIG-based WES with the disturbances. A new fuzzy-based Lyapunov function is constructed, and the H∞ performance index is calculated for external disturbances under membership function-dependent H∞ approach. The obtained performance index of membership function-dependent H∞ approach can be improved 10% than the conventional H∞ approach. Finally, the simulation results are given the better stable performance of the DFIG-based WES under the designed FISMC, and the comparison results verify the efficacy of the proposed method.