Families of reduced order models that achieve nonlinear moment matching
Families of reduced order models that achieve nonlinear moment matching
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实现非线性力矩匹配的降阶模型系列
DOI：
10.1109/acc.2013.6580701
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
A. Astolfi
中科院分区：
文献类型：
--
作者：
T. Ionescu;A. Astolfi
在本文中，我们提出了一个时域的矩的概念，一类单输入，单输出的非线性系统，仿射的输入，在稳态响应的广义信号发生器的输出驱动的非线性系统。此外，我们定义了一个新的矩匹配的概念，并提出了类（非线性）参数化降阶模型，实现矩匹配。此外，我们建立与现有的矩的概念的关系，表明家庭的降阶模型，实现非线性矩匹配是等价的。此外，我们同时计算匹配两组插值点处的矩的降阶模型，即，内插点的数量是模型阶数的两倍。
In this paper we present a time-domain notion of moments for a class of single-input, single-output nonlinear systems, affine in the input, in terms of the steady-state response of the output of a generalized signal generator driven by the nonlinear system. In addition, we define a new notion of moment matching and present the class of (nonlinear) parameterized reduced order models that achieve moment matching. Furthermore, we establish relations with existing notions of moment, showing that the families of reduced order models that achieve nonlinear moment matching are equivalent. Furthermore, we compute the reduced order model that matches moments at two sets of interpolation points, simultaneously, i.e., the number of interpolation points is twice the order of the model.
影响因子：
6.8
作者：
Astolfi, Alessandro
通讯作者：
Astolfi, Alessandro