arXiv:2606.11596eess.SYcs.AI2026-06

提出分层控制与拓扑协同设计方法,实现网络系统鲁棒稳定与高效优化。

Model-Based and Data-Driven Hierarchical Control and Topology Co-Design for Robust Networked Systems

论文配图:Model-Based and Data-Driven Hierarchical Control and Topology Co-Design for Robust Networked Systems
图 1 · 摘自论文原文
  • 基于耗散性理论分层设计控制器,确保局部与全局系统稳定性。
  • 通过线性矩阵不等式求解,避免非凸迭代过程,保持分布式特性。
  • 支持仅需轨迹数据的模型无关设计,适用于动态未知的真实系统。

本文研究由线性子系统、扰动输入和性能输出构成的网络化系统。基于耗散性理论,提出一种模型驱动的分层控制设计策略,确保闭环网络系统从扰动输入到性能输出具有耗散性。该策略通过为每个子系统设计局部控制器以保证局部耗散性,并利用此性质协同设计分布式全局控制器与互联拓扑,实现全局耗散性同时优化拓扑成本。整个设计过程仅需求解一系列线性矩阵不等式(LMI),保留了组合性与去中心化特性,避免了效率低下且集中化的非凸迭代过程。针对实际系统中难以获取精确子系统动态的问题,进一步提出仅依赖丰富输入-状态-输出轨迹数据的模型无关设计方法。该方法假设未知扰动受二次矩阵不等式约束(弱化传统有界性假设),并采用矩阵S引理进行处理。最后,在直流微电网网络系统上验证了所提模型驱动与数据驱动分层控制设计的有效性,目标是实现鲁棒(耗散性)电压调节与电流共享。

原文摘要 · Abstract (English)

In this paper, we consider a class of networked systems comprising an interconnected set of linear subsystems, disturbance inputs, and performance outputs. Using dissipativity theory, we first propose a model-based hierarchical control design strategy to ensure the closed-loop networked system is dissipative from its disturbance inputs to performance outputs. This involves designing local controllers for each subsystem to enforce local dissipativity guarantees, which are then exploited to co-design distributed global controllers and the interconnection topology to enforce global dissipativity guarantees while optimizing interconnection topology costs. The overall design process requires only solving a sequence of linear matrix inequality (LMI) problems, thereby retaining compositionality and decentralizability while avoiding non-convex, iterative design processes that are inefficient and centralized. This model-based hierarchical control design strategy assumes the knowledge of the subsystem dynamics, which may not hold in many real-world networked systems. Motivated by this, we also propose a data-driven hierarchical control design strategy that assumes only the availability of rich input-state-output trajectory data from the subsystems. The proposed data-driven design process assumes that the unknown disturbances affecting the subsystem dynamics are bounded by a quadratic matrix inequality (relaxing conventional bounds) and accounts for this by using the matrix S-lemma. Finally, the effectiveness of the proposed model-based and data-driven hierarchical control designs is illustrated for a networked system representing a DC microgrid, with the aim of enforcing robust (dissipative) voltage regulation and current sharing.

网络控制耗散性分层设计数据驱动

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。