Abstract
In this note we address the problem of model reduction of a particular class of linear systems, namely, the linear port-Hamiltonian (PH) systems. Furthermore, we explore the preservation of the PH structure in the reduced model. Towards this end, we adopt the balanced truncation approach to reduced the order of the model, in particular, we study the use of extended Gramians to balance the linear PH systems. The latter provides degrees of freedom to impose a desired structure, in this case a PH one, to the reduced model. Moreover, for balanced truncation using extended Gramians, the error bound is well-known and is given in terms of the Hankel singular values of the truncated state.
Original language | English |
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Title of host publication | Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) |
Place of Publication | Hong Kong |
Publisher | Hong Kong University of Science and Technology |
Pages | 852-855 |
Publication status | Published - 2018 |
Event | The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) - Hong Kong, China Duration: 16-Jul-2018 → 20-Jul-2018 |
Conference
Conference | The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) |
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Country/Territory | China |
City | Hong Kong |
Period | 16/07/2018 → 20/07/2018 |