首页/论文/2001.00651

arXiv 2001.006512020-01-02eess.SYcs.SYmath.OC

Extended balancing of continuous LTI systems: a structure-preserving approach

Pablo Borja, Jacquelien M. A. Scherpen, Kenji Fujimoto

备注：: 32 pages, 13 figures. Submitted to IEEE Transactions on Automatic Control

英文摘要：

In this paper, we treat extended balancing for continuous-time linear time-invariant systems, and we address the problem of structure-preserving model reduction of the subclass of port-Hamiltonian systems. We establish sufficient conditions to ensure that the reduced-order model preserves a port-Hamiltonian structure. Moreover, we show that the use of extended Gramians can be exploited to get a small error bound and, possibly, to preserve a physical interpretation for the reduced-order model.

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