论文标题
可扩展分布式和分散的$ \ Mathscr {H} _2 $互连线性离散时间系统的控制器合成
Scalable distributed and decentralized $\mathscr{H}_2$ controller synthesis for interconnected linear discrete-time systems
论文作者
论文摘要
线性互连系统的分布式$ \ MATHSCR {H} _2 $控制器的合成中的当前限制是由于非凸或非结合合成条件而导致的。在本文中，我们为存在与互连结构的离散时间互连系统的分布式$ \ Mathscr {H} _2 $控制器开发凸和结构化条件，该条件与互连结构相对应。与相应的集中式$ \ mathscr {h} _2 $控制器合成问题相比，使用具有块对基结构结构的中性互连和具有块对基因结构的存储函数。此外，为相应的分散$ \ Mathscr {h} _2 $控制器合成问题与固定供应功能的互连功能相应，将开发的条件改编。在周期图上，为小型至大规模的振荡器网络证明了开发的分布式$ \ MATHSCR {H} _2 $ CONTRORTER合成方法的有效性和可扩展性。
The current limitation in the synthesis of distributed $\mathscr{H}_2$ controllers for linear interconnected systems is scalability due to non-convex or unstructured synthesis conditions. In this paper we develop convex and structured conditions for the existence of a distributed $\mathscr{H}_2$ controller for discrete-time interconnected systems with an interconnection structure that corresponds to an arbitrary graph. Neutral interconnections and a storage function with a block-diagonal structure are utilized to attain coupling conditions that are of a considerably lower computational complexity compared to the corresponding centralized $\mathscr{H}_2$ controller synthesis problem. Additionally, the developed conditions are adapted for the corresponding decentralized $\mathscr{H}_2$ controller synthesis problem with fixed supply functions for the interconnections. The effectiveness and scalability of the developed distributed $\mathscr{H}_2$ controller synthesis method is demonstrated for small- to large-scale oscillator networks on a cycle graph.
