This study aims to present an observer-based fuzzy control approach for a wind turbine system (WTS) equipped with a fractional-order permanent magnet synchronous generator (PMSG) by utilizing an adaptive quantized-mechanism. To do this, firstly, the fractional order control is introduced into the nonlinear PMSG model to improve the convergence rate beyond the existing integer order control techniques. In the next step, the nonlinear PMSG model is converted into linear sub-models using Takagi–Sugeno (T–S) fuzzy models. Using a fractional order Lyapunov function, an adaptive quantization mechanism, and a linear matrix inequality (LMI), we then obtain the necessary conditions for global stabilization of the PMSG-based WTS. Finally, the method proposed in this study demonstrates its superiority and efficiency through comparison with existing methods.

中文翻译：

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具有自适应量化机制的分数阶 PMSG 风力发电机系统基于观测器的模糊控制


本研究旨在利用自适应量化机制，为配备分数阶永磁同步发电机（PMSG）的风力涡轮机系统（WTS）提出一种基于观测器的模糊控制方法。为此，首先将分数阶控制引入到非线性PMSG模型中，以提高收敛速度，使其超越现有的整数阶控制技术。下一步，使用 Takagi–Sugeno (T–S) 模糊模型将非线性 PMSG 模型转换为线性子模型。然后，使用分数阶 Lyapunov 函数、自适应量化机制和线性矩阵不等式 (LMI)，我们获得了基于 PMSG 的 WTS 全局稳定的必要条件。最后，通过与现有方法的比较，证明了本研究提出的方法的优越性和效率。