Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems

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• 作者：Rostyslav V. Polyuga^a ; ^{rostyslav.polyuga@gmail.com} ; ^{rostyslav.polyuga@nl.abnamro.com} ; Arjan J. van der Schaft^b ; ¹ ; ^{A.J.van.der.Schaft@rug.nl}
• 关键词：Port-Hamiltonian systems ; Structure preserving model reduction ; Dirac structure ; Effort-constraint method ; Flow-constraint method
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：March, 2012
• 卷：61
• 期：3
• 页码：412-421
• 文件大小：383 K

摘要

The geometric formulation of general port-Hamiltonian systems is used in order to obtain two structure preserving reduction methods. The main idea is to construct a reduced-order Dirac structure corresponding to zero power flow in some of the energy-storage ports. This can be performed in two canonical ways, called the effort- and the flow-constraint methods. We show how the effort-constraint method can be regarded as a projection-based model reduction method. Both the effort- and flow-constraint reduction methods preserve the stability and passivity properties of the original system, as a consequence of preserving the port-Hamiltonian structure.