Open problems in the area of pole placement
Open problems in the area of pole placement
复制标题
极点放置领域的开放性问题
DOI：
10.1007/978-1-4471-0807-8_37
复制
发表时间：
1999
影响因子：
8.4
通讯作者：
J. Willems
中科院分区：
文献类型：
--
作者：
J. Rosenthal;J. Willems
静态和动态输出极点配置问题属于现代控制理论的突出设计问题，我们参考综述文章[4，10，19，21]，其中也提供了更多的参考文献。多年来，极点配置问题的各个方面吸引了许多研究人员。在问题的开始就认识到输出极点配置问题本质上是非线性的，并且不能期望基于线性代数技术的简单解决方案。近年来取得了重大进展。这一进展是由于在一个主要部分，以更好地了解系统的理论成分和它的关系，代数几何。在这方面有帮助的是行为的方法来在其制定最接近的代数几何性质的极点配置问题。
The static and the dynamic output pole placement problem belong to the prominent design problems of modern control theory and we refer to the survey articles [4, 10, 19, 21] where also more references to the literature are provided. Various facets of the pole placement problem attracted many researchers over the years. It was been recognized right at the beginning of the problem that the output pole placement problem is nonlinear in nature and a simple solution based on techniques from linear algebra cannot be expected. In recent years significant progress has been achieved. This progress is due in a major part to a better understanding of the system theoretic ingredients and its relation to algebraic geometry. Helpful in this regard is the behavioral approach which comes in its formulation closest to the algebraic geometric nature of the pole placement problem.