On balanced realization and finite-dimensional approximation for infinite-dimensional nonlinear systems

被引：1

作者：

Fujimoto, Kenji ^{[1
]}

Ono, Sayaka ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Engn, Dept Mech Sci & Engn, Chikusa Ku, Nagoya, Aichi 4648601, Japan

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

关键词：

D O I：

10.1109/CDC.2008.4739031

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we propose a finite-dimensional approximation for a nonlinear infinite-dimensional system via balanced realization. The proposed method is accomplished by balanced realization and singular value analysis for nonlinear systems. This approach is expected to derive effective approximate models preserving particular input-output behavior. Necessary and sufficient conditions characterizing balanced realization for infinite-dimensional systems are derived. Furthermore, the effectiveness of the proposed method is shown by a numerical simulation.

引用

页码：4215 / 4220

页数：6

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