Reduced Order Modeling of Diffusively Coupled Network Systems: An Optimal Edge Weighting Approach

• 成果类型: Article
• 署名作者: Cheng, Xiaodong; Yu, Lanlin; Ren, Dingchao; Scherpen, Jacquelien M. A.
• 署名单位: University of Cambridge; Hefei University of Technology; Westlake University; Chinese Academy of Sciences; University of Science & Technology of China, CAS
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3200886
• 发表日期: 2023
• 页码: 4233-4240
• 关键词: Index Terms-Interconnected systems; Linear systems; Network systems; optimization; reduced order systems

摘要

This article studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original large-scale network, we construct a quotient graph with less number of vertices, where the edge weights are parameters to be determined. The model of a reduced network is thereby obtained with parameterized system matrices, and then, an edge weighting procedure is devised, aiming to select an optimal set of edge weights to minimize the approximation error between the original and the reduced-order network models in terms of $\mathcal {H}_{2}$-norm. The effectiveness of the proposed method is illustrated by a numerical example.