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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>>