Frequency Domain Design

本研究的目的是发展一种适用于任意线性反馈系统的频域设计理论。该方法基于过去六年发展起来的三种工具：Youla参数化、Arveson频率响应和扩展的Hermann-Martin模型；并将包括单变量、多变量和一般线性系统环境中的同时镇定问题、最小次数补偿器问题、极点配置问题和初值问题的研究。

The aim of this research is to develop a frequency domain design theory applicable to arbitrary linear feedback systems. The approach is based on three tools developed over the past half-dozen years: the Youla parameterization, the Arveson frequency response, and the extended Hermann-Martin model; and will include investigations of the simultaneous stabilization problem, the minimal degree compensator problem, the pole placement problem, and the initial value problem in single variate, multivariate, and general linear systems settings.