This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of ${\mathcal{D}}_R$-regions for linear parameter varying systems. The design conditions, obtained using a partial pole placement theorem, are eventually expressed in terms of linear matrix inequalities. In addition, it is shown that the approach can be modified in a shifting sense. Hence, the controller gain is computed such that different values of the varying parameters imply different regions of the complex plane where the closed-loop poles are situated. This approach enables the online modification of the closed-loop performance. The effectiveness of the proposed method is demonstrated by means of simulations.

本文介绍了一种设计状态反馈控制器的方法，该控制器在一个联合中实现极点聚类。 ${\mathcal{D}}_R$- 线性参数变化系统的区域。使用偏极点放置定理获得的设计条件最终用线性矩阵不等式表示。此外，它表明该方法可以在转变的意义上进行修改。因此，控制器增益的计算使得不同参数的不同值意味着闭环极点所在的复平面的不同区域。这种方法可以实现闭环性能的在线修改。通过仿真证明了所提出方法的有效性。