Research Initiation: Controller Complexity in Linear Systems

线性系统框架中的反馈控制问题， 多年来一直被广泛研究。 虽然理论 解决了许多重要问题，但他们通常都失败了。 为了解决复杂性的问题（即，MacMillan度） 产生的控制器。 本研究的目的是调查 与低复杂度控制器相关的问题，使用部分 实现途径。 特别是，这项工作将包括以下方面： 的部分实现问题，适用于H-无穷大 优化问题和动态极点配置问题 输出反馈 这项工作的动机是，在第一 问题，目前没有控制器复杂性的规定 在第二个问题中，现有的结果只是 部分的 本研究的意义在于 控制器的复杂性是一个重要的设计参数 反馈控制。 因此，设计方法应给出 工程师选择它的自由，以满足设计 规范.

The problem of feedback control in the framework of linear systems has been extensively investigated over the years. Although the theories developed settled a number of important issues, they generally failed to address the problem of the complexity (i.e., MacMillan degree) of the resulting controllers. The aim of this research is to investigate problems related to low complexity controllers, using the partial realization approach. In particular, the work will encompass aspects of the partial realization problem as applied to the H-infinity optimization problem and the problem of pole placement by dynamic output feedback. The motivation for the work is that in the first problem, no provision for controller complexity exists in the current theories and in the second problem, the existing results are only partial. The significance of the proposed research lies in the fact that the complexity of the controller is an important design parameter in feedback control. Consequently, the design methods should give the engineer the freedom of choosing it so as to meet design specifications.