Generalized incremental balanced truncation for nonlinear systems
Generalized incremental balanced truncation for nonlinear systems
复制标题
非线性系统的广义增量平衡截断
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
H. Nijmeijer
中科院分区：
文献类型：
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作者：
B. Besselink;N. Wouw;J. Scherpen;H. Nijmeijer
本文介绍了广义增量平衡截断方法，为向量场自治部分反对称的非线性系统的模型降阶提供了一种技术。这种方法不同于现有的平衡类减少技术中的两个新的，增量能量函数的定义，它提供了几个优点。首先，降阶模型的稳定性可以得到保证，从而考虑零和非零输入的轨迹的稳定性。其次，推导出了约简误差的可计算界。通过应用到一个非线性电子电路的例子说明了减少技术。
The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.
影响因子：
6.8
作者：
Astolfi, Alessandro
通讯作者：
Astolfi, Alessandro