Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
复制标题
通过无穷远矩匹配简化端口哈密尔顿系统的结构保持模型
DOI：
10.1016/j.automatica.2010.01.018
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
A. Schaft
中科院分区：
文献类型：
--
作者：
R. Polyuga;A. Schaft
考虑用Krylov方法对端口-哈密顿系统进行模型约简，以保持端口-哈密顿结构。给出了如何在特定坐标系下使用Arnoldi方法进行模型约简，以不仅保留特定数量的马尔可夫参数，而且保留降阶模型的端口-哈密顿结构。此外，还证明了Lanczos方法可以以结构保持的方式应用于具有代数条件的port- hamilton系统子类。事实上，对于相同的port- hamilton系统子类，Arnoldi方法和Lanczos方法在产生具有相同传递函数的降阶port- hamilton模型的意义上是等价的。
Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered, aiming at port-Hamiltonian structure preservation. It is shown how to employ the Arnoldi method for model reduction in a particular coordinate system in order to preserve not only a specific number of the Markov parameters but also the port-Hamiltonian structure for the reduced order model. Furthermore it is shown how the Lanczos method can be applied in a structure preserving manner to a subclass of port-Hamiltonian systems which is characterized by an algebraic condition. In fact, for the same subclass of port-Hamiltonian systems the Arnoldi method and the Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function.