论文标题
实现，内部稳定性和控制器合成
Realization, Internal Stability, and Controller Synthesis
论文作者
论文摘要
我们目睹了几个控制器参数化的出现和相应的合成方法，包括Youla，系统级别，输入输出和许多其他新建议。同时，在相同的合成方法下，有多种认识需要采用。不同的综合方法/实现针对不同的植物/场景。除了一些逐案研究外，我们目前没有一个统一的框架来了解他们的关系。 为了解决这个问题，我们表明现有的控制器合成方法和实现建议都是简单引理的特殊情况，即实现稳定性引理。引理会导致现有方法之间更容易的等价证明，并实现了通用控制器合成问题的制定，该问题为控制器的合成和实现派生提供了统一的基础。
We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there are multiple realizations to adopt. Different synthesis methods/realizations target different plants/scenarios. Except for some case-by-case studies, we don't currently have a unified framework to understand their relationships. To address the issue, we show that existing controller synthesis methods and realization proposals are all special cases of a simple lemma, the realization-stability lemma. The lemma leads to easier equivalence proofs among existing methods and enables the formulation of a general controller synthesis problem, which provides a unified foundation for controller synthesis and realization derivation.
