Algorithm on fuzzy adaptive backstepping control of fractional order for doubly‐fed induction generators

Abstract

This study proposes a fractional‐order control for a variable speed wind energy system equipped with a doubly‐fed induction generator. The control scheme under study, which is applied to the generator‐side converter, combines the feedback form of backstepping technique with two Takagi–Sugeno fuzzy systems in the fractional order. The resulting virtual and global control laws improve the system's robustness and tracking performance. Moreover, this allows getting rid of the requirements of the generator parameters knowledge, which is an initial condition to the conventional backstepping controller. This control system, with a fractional Lyapunov function, assures the global system stability, aims to attenuate the effect of external disturbances and the model uncertainties on the power transferred to the grid. The comparison of the simulation results between the proposed control technique and its integer‐order counterpart confirms the efficiency of the fractional suggested approach.