Wind turbines are subjected to factors like fatigue, aerodynamics, structural flexibility and wind turbulence which lead to uncertain behaviour. This affects stability and deteriorates the performance of the large structured wind turbine. In order to reduce the effects of uncertainties on the system performance and its structure, a robust controller design is necessary. In this paper, it is proposed to design a $$\mu $$-synthesis-based robust controller to overcome the effects due to uncertainties. A $$\pm \,25\%$$ variation in the values of the system matrix elements is considered for analysis in this paper. A 109th order of the proposed $$\mu $$-controller is obtained, wherein it is reduced to a 7th order controller by using the balanced truncation method. The robust stability and robust performances are satisfactorily achieved with both these controllers. Furthermore, the worst-case performance of the uncertain wind turbine is also analysed.

中文翻译：

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使用 $$ \ mu $$ μ-综合方法对不确定风力涡轮机进行速度调节的鲁棒控制器设计

风力涡轮机受到疲劳、空气动力学、结构灵活性和风湍流等因素的影响，这些因素会导致不确定的行为。这会影响稳定性并降低大型结构化风力涡轮机的性能。为了减少不确定性对系统性能及其结构的影响，稳健的控制器设计是必要的。在本文中，建议设计一个 $$ \ mu $$ - 基于综合的鲁棒控制器，以克服不确定性带来的影响。本文考虑了系统矩阵元素值的 $$\pm\, 25\% $$ 变化进行分析。获得了所提出的$$\mu$$-控制器的109阶，其中通过使用平衡截断方法将其缩减为7阶控制器。这两种控制器都令人满意地实现了稳健的稳定性和稳健的性能。此外，还分析了不确定风力涡轮机的最坏情况性能。