Youla-Kucera (YK) parametrization was formulated decades ago for obtaining the set of controllers stabilizing a linear plant. This fundamental result of control theory has been used to develop theoretical tools solving many control problems ranging from stable controller switching, closed-loop identification, robust control, disturbance rejection, adaptive control to fault tolerant control. This paper collects the recent work and classifies them according to the use of YK parametrization, Dual YK parametrization or both, providing the latest advances with main applications in different control fields. A final discussion gives some insights on the future trends in the field.

Youla-Kucera（YK）参数化是数十年前制定的，用于获得稳定线性工厂的一组控制器。控制理论的基本结果已用于开发解决许多控制问题的理论工具，这些问题从稳定的控制器切换，闭环识别，鲁棒控制，干扰抑制，自适应控制到容错控制。本文收集了最近的工作，并根据YK参数化，对偶YK参数化或同时使用了这两种方法对它们进行了分类，为不同控制领域的主要应用提供了最新进展。最后的讨论为该领域的未来趋势提供了一些见解。