finite time power regulation of bdfig using adaptive nonlinear method

This paper presents a novel finite-time adaptive dynamic sliding mode controller (smc) for regulating the power of a brushless double-fed induction generator (bdfig). wind turbines equipped with bdfigs present unique challenges due to the system's nonlinear dynamics, external disturbances, and inherent uncertainties. to address these issues, smc is employed for its robustness and effectiveness in uncertain environments. the proposed controller integrates a dynamic smc, ensuring a smooth control signal and mitigating the chattering effect commonly associated with conventional smcs. a key innovation of this work is the development of an adaptive gain mechanism that eliminates the need for prior knowledge of uncertainty bounds. this adaptive gain dynamically converges to the upper bound of uncertainties, enhancing the system's adaptability and robustness. using the lyapunov stability theorem, finite-time convergence is rigorously proven, ensuring that the sliding variable reaches zero within a finite time, and the adaptive gain aligns with the uncertainty bound.