论文标题
与任意互连的网络系统的分散分析和控制合成方法
A Decentralized Analysis and Control Synthesis Approach for Networked Systems with Arbitrary Interconnections
论文作者
论文摘要
本文考虑了分散分析和控制综合的问题，以验证和确保诸如稳定性和耗散性的属性，该属性由与任意拓扑相互关联的线性子系统组成的大型网络系统的稳定性和耗散性。特别是，我们设计了系统的网络系统分析和控制综合过程，这些过程可以在子系统级别以分散的方式执行，并在子系统之间具有最小的信息共享。与我们在同一主题上的最新工作相比，我们考虑了本文中基本更广泛的问题设置，并开发了分散的流程，以验证和确保更广泛的网络系统属性。我们表明，对于这样的分散过程：优化所使用的子系统索引方案可以大大减少所需的毕业间信息共享会话，在某些网络拓扑中，仅相邻子系统之间的信息共享就足够了（分布式！）。此外，提出的网络系统分析和控制合成过程是对子系统删除的组成/弹性，这使它们能够方便有效地处理从现有网络添加/删除新子系统的情况。我们还对我们的分散方法提供了重要的见解，以便可以快速采用它来验证和确保超出网络系统稳定性和消散性的属性。为了开发这样的分散技术，我们还为耗散观察者和动态输出反馈控制器设计问题提供了新的集中解决方案。随后，我们还专门为离散时间网络系统提供了所有派生结果。我们通过提供了几个模拟结果来结束本文，该结果证明了拟议的新型分散分析和控制合成过程以及基于消散性的结果。
This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an arbitrary topology. In particular, we design systematic networked system analysis and control synthesis processes that can be executed in a decentralized manner at the subsystem level with minimal information sharing among the subsystems. Compared to our most recent work on the same topic, we consider a substantially more generalized problem setup in this paper and develop decentralized processes to verify and ensure a broader range of networked system properties. We show that for such decentralized processes: optimizing the used subsystem indexing scheme can substantially reduce the required inter-subsystem information-sharing sessions, and in some network topologies, information sharing among only neighboring subsystems is sufficient (distributed!). Moreover, the proposed networked system analysis and control synthesis processes are compositional/resilient to subsystem removals, which enable them to conveniently and efficiently handle situations where new subsystems are being added/removed to/from an existing network. We also provide significant insights into our decentralized approach so that it can be quickly adopted to verify and ensure properties beyond the stability and dissipativity of networked systems. Towards developing such decentralized techniques, we have also derived new centralized solutions for dissipative observer and dynamic output feedback controller design problems. Subsequently, we also specialize all the derived results for discrete-time networked systems. We conclude this paper by providing several simulation results demonstrating the proposed novel decentralized analysis and control synthesis processes and dissipativity-based results.
