As part of efforts to improve wind energy production using a doubly fed induction generator (DFIG), this paper presents modeling with power maximization through control of speed (MPPT) and control of stator active and reactive power for doubly fed induction generator. The quality of the generated energy and the performance of wind energy conversion systems (WECS) based on DFIG are affected by uncertainties and external disturbances. Therefore, the system requires high-performance control under the nonlinearity influence and the applied external disturbances. This work provides a new contribution and approach that combines nonlinear control (Backstepping) and optimal control (LQR). Backstepping control has been applied to give a good performance using nonlinear strategy and stability condition, but its main drawback is that it is relatively robust for sudden changes in wind speed or any external disturbances as well as it is sensitive against the uncertainties, which may lead to a chattering and an instability as well as overshoot or undershoot. To overcome the problems mentioned above the optimal control (LQR) has been applied to address this drawback in nonlinear control. Furthermore, it, the hybrid approach of Backstepping and LQR control resulting a robust control under the hardest scenarios during the wind system operating as well as provides a good performance in terms of chattering, stability and other performance characteristics which help to produce a high-quality energy. Overall, integrating LQR control with Backstepping can lead to a more powerful, flexible, and efficient control system with improved performance and reduced computational complexity.

This paper proposes a novel hybrid control strategy that integrates Feedback Linearization Control (FBLC) with Sliding Mode Control (SMC) to significantly enhance the performance of Permanent Magnet Synchronous Motor (PMSM) drives. The proposed control strategy leverages the strengths of both FBLC and SMC to address the inherent challenges associated with PMSM control in demanding industrial applications. The FBLC component of the hybrid controller effectively linearizes the nonlinear dynamics of PMSMs. By transforming the nonlinear system into an equivalent linear system, FBLC facilitates precise trajectory tracking and improves transient response, thereby ensuring high control accuracy. This linearization process simplifies the control design and enables the implementation of advanced linear control techniques. On the other hand, the SMC component ensures robustness and reliability of the PMSM drive system. SMC is known for its inherent robustness against parameter variations, uncertainties, and external disturbances. By incorporating SMC into the hybrid controller, the system maintains stable and reliable operation even in the presence of these adverse conditions. The SMC component enhances disturbance rejection capabilities, providing a robust control solution that significantly improves the overall system performance. The integration of FBLC and SMC into a unified control architecture results in a synergistic improvement in PMSM drive performance. The hybrid FBLC-SMC controller combines the precise tracking capabilities of FBLC with the robustness of SMC, leading to superior tracking accuracy, effective disturbance rejection, and enhanced overall robustness compared to traditional control methods. Extensive simulation studies are conducted to validate the effectiveness of the proposed hybrid control strategy. The simulation results demonstrate the ability of the FBLC-SMC controller to achieve excellent performance metrics, including improved tracking accuracy, faster transient response, and robust disturbance rejection. The hybrid control strategy is shown to be a promising solution for industrial applications requiring high performance and reliability in PMSM control.