论文标题
用于分析和合成非线性网络系统的集中和分散技术
Centralized and Decentralized Techniques for Analysis and Synthesis of Non-Linear Networked Systems
论文作者
论文摘要
在本文中，我们开发了用于分析和合成由非线性子系统集组成的集中和分散的技术，仅使用子系统耗散性属性。特别是，本文扩展了最近的一项工作，该工作提出了针对非线性网络系统作为线性矩阵不平等（LMI）问题的基于耗散性的集中分析技术。首先，我们考虑了感兴趣的四种网络系统配置（NSC），并为其作为LMI问题提供集中式稳定性/消散性\ Emph {Analysis}技术。其次，我们表明，这些NSC的集中式互连拓扑\ emph {合成}技术也可以作为LMI问题开发。这可以使子系统之间的互连拓扑合成，从而优化了网络系统的特定稳定性/消散性测量。接下来，我们表明，提出的分析和合成技术可以以分散和组成方式实现（即，可以方便地添加/删除子系统）。最后，我们包括几个数值结果来证明我们的贡献。
In this paper, we develop centralized and decentralized techniques for analyzing and synthesizing networked systems comprised of interconnected sets of non-linear subsystems - only using the subsystem dissipativity properties. In particular, this paper extends a recent work that proposed dissipativity based centralized analysis techniques for non-linear networked systems as linear matrix inequality (LMI) problems. First, we consider four networked system configurations (NSCs) of interest and provide centralized stability/dissipativity \emph{analysis} techniques for them as LMI problems. Second, we show that the centralized interconnection topology \emph{synthesis} techniques for these NSCs can also be developed as LMI problems. This enables synthesizing the interconnection topology among the subsystems so that specific stability/dissipativity measures of the networked system are optimized. Next, we show that the proposed analysis and synthesis techniques can be implemented in a decentralized and compositional manner (i.e., subsystems can be added/removed conveniently). Finally, we include several numerical results to demonstrate our contributions.
