Balanced Realization and Model Order Reduction for Port-Hamiltonian Systems
Balanced Realization and Model Order Reduction for Port-Hamiltonian Systems
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DOI：
10.1299/jsdd.2.694
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
K. Fujimoto
中科院分区：
文献类型：
--
作者：
K. Fujimoto
本文研究用端口-哈密顿公式描述的机电系统的非线性模型降阶问题。提出了一种新的加权镇定实现和模型降阶方法，该方法既保持了系统的哈密顿结构，又保持了原系统的稳定性、能达性和能观性。这意味着人们可以利用降阶模型的内在物理性质，如物理能量和相应的耗散性。此外，该方法减少了求解偏微分方程解非线性平衡实现的计算量。数值仿真结果表明了该方法的有效性。
This paper is concerned with nonlinear model order reduction for electro-mechanical systems described by port-Hamiltonian formulae. A novel weighted balacend realization and model order reduction procedure is proposed which preserves port-Hamiltonian structure as well as stability, reachability and observability of the original system. This implies that one can utilize the intrinsic physical properties such as physical energy and the corresponding dissipativity for the reduced order model. Further, the proposed method reduces the computational effort in solving partial differential equations for nonlinear balanced realization. A numerical simulation shows how the proposed method works.