We propose a framework to synthesize a block-diagonally structured $\mathcal {H}_\infty$ -controller that consists of a parametric and a block-triangular dynamic component. Moreover, we present an application to $\mathcal {H}_\infty$ -design with controller constraints that arise from a delayed chained interconnection of subsystems that are, by themselves, described by delayed strongly connected communication graphs. We introduce a compact notation to describe the delayed graph structures and give a precise classification of all tractable network-induced constraint sets that can be handled within our framework. Furthermore, the flexibility of our approach is demonstrated through the application to a vehicle platoon with different controller communication scenarios.

中文翻译：

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网络系统结构化控制器的灵活综合框架

我们提出了一个框架来合成块对角结构 $ \ mathcal {H} _ \ infty $ -控制器，由参数和块三角动态组件组成。此外，我们向$ \ mathcal {H} _ \ infty $ 控制器约束的设计是由子系统的延迟链式互连引起的，子系统的延迟链式互连本身由延迟的强连通通信图描述。我们引入一种紧凑的表示法来描述延迟图的结构，并对可以在我们的框架内处理的所有易处理的网络引发的约束集进行精确分类。此外，通过将其应用于具有不同控制器通信场景的车辆排，可以证明我们方法的灵活性。