Nonlinear balanced realization based on singular value analysis of Hankel operators
Nonlinear balanced realization based on singular value analysis of Hankel operators
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DOI：
10.1109/cdc.2003.1272220
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发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
K. Fujimoto;J. Scherpen
中科院分区：
文献类型：
--
作者：
K. Fujimoto;J. Scherpen
本文基于Hankel算子的奇异值分析，提出了一种新的非线性系统平衡实现方法。该方法平衡了非线性动力系统的输入-状态行为和状态-输出行为之间的关系，而现有的结果只平衡了状态空间坐标轴之间的关系.这一结果有望成为新的模型降阶和系统辨识的非线性系统的基础。
In this paper a new balanced realization method for nonlinear systems is proposed which is based on singular value analysis of Hankel operators. The proposed method balances the relationship between the input-to-state behavior and the state-to-output behavior of nonlinear dynamical systems, whereas the existing results only balance the relationship among the coordinate axes of the state-space. This result is expected to be a basis for new model reduction and system identification of nonlinear systems.