solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2633次
Balanced Truncation of Networked Linear Passive Systems. (arXiv:1710.03455v1 [math.OC])
来源于:arXiv
This paper studies model order reduction of multi-agent systems consisting of
identical linear passive subsystems, where the interconnection topology is
characterized by an undirected weighted graph. Balanced truncation based on a
pair of specifically selected generalized Gramians is implemented on the
asymptotically stable part of the full-order networked model, which leads to a
reduced-order system preserving the passivity of each subsystem. To restore the
network structure, we then apply a coordinate transformation to convert the
resulting reduced-order model to a state-space model of Laplacian dynamics. The
proposed method simultaneously reduces the complexity of the network structure
and individual agent dynamics. Moreover, it preserves the passivity of the
subsystems and allows for the a priori computation of a bound on the
approximation error. Finally, the feasibility of the method is demonstrated by
an example. 查看全文>>