Details

Autor(en) / Beteiligte

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

Titel

Extended Balancing of Continuous LTI Systems: A Structure-Preserving Approach

Ist Teil von

• IEEE transactions on automatic control, 2023-01, Vol.68 (1), p.257-271

Ort / Verlag

New York: IEEE

Erscheinungsjahr

2023

Link zum Volltext

• IEEE_Xplore

Quelle

IEEE Xplore Digital Library

Beschreibungen/Notizen

• In this article, we treat extended balancing for continuous-time linear time-invariant systems. We take a dissipativity perspective, thus, resulting in a characterization in terms of linear matrix inequalities. This perspective is useful for determining a priori error bounds. In addition, 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. We illustrate the results with a large-scale mechanical system example. Furthermore, we show how to interpret a reduced-order model of an electrical circuit again as a lower dimensional electrical circuit.