This article deals with nonlinear model‐based control design for wind turbines. By systematically integrating several mechanical degrees of freedom in the control design model, the load mitigation potential from the proposed multivariable control framework is demonstrated. The application of the linear matrix inequality (LMI)‐based control design is discussed in detail. Apart from the commonly considered power production mode, an extended operating range to provide stabilization of the electrical grid through power tracking is considered. This control functionality allows for an evaluation of the resulting fatigue and ultimate loads for power tracking at different dynamic requirements. The results indicate that under the impact of a dedicated control scheme, this functionality is feasible with respect to the occurring loads and operational behavior of the wind turbine.

中文翻译：

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使用基于线性矩阵不等式的控制设计减轻风力发电机的负荷并跟踪功率

本文讨论了基于非线性模型的风力涡轮机控制设计。通过将几个机械自由度系统地集成到控制设计模型中，展示了所提出的多变量控制框架的减轻负荷的潜力。详细讨论了基于线性矩阵不等式（LMI）的控制设计的应用。除了通常考虑的电力生产模式之外，还考虑了扩展的工作范围，以通过电力跟踪来稳定电网。此控制功能允许评估所产生的疲劳和极限负载，以便在不同的动态要求下进行功率跟踪。结果表明，在专用控制方案的影响下，