New results on frequency weighted balanced reduction technique
New results on frequency weighted balanced reduction technique
复制标题
频率加权平衡折减技术新成果
DOI：
10.1109/acc.1995.532684
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
A. Madievski
中科院分区：
文献类型：
--
作者：
Victor Sreeram;Brian D. O. Anderson;A. Madievski
通过一个例子说明了恩斯（1984）的频率加权平衡降阶方法应用于具有输入和输出权的标量稳定传递函数时，会导致不稳定的降阶模型。然后，提出了一种方法的变化，这是保证产生稳定的降阶模型，即使输入和输出的权重都包括在内。该方法是Lin和Chiu（1992）技术的推广，并且可以处理适当的加权传递函数，而不仅仅是严格适当的。所提出的技术的频率响应误差界也推导出适用于适当的（包括严格适当的）加权函数。
Shows by an example that Enns' (1984) frequency weighted balanced reduction procedure when applied to a scalar stable transfer function with input and output weights can result in an unstable reduced order model. A variation on the method is then presented which is guaranteed to yield stable reduced order models even when both input and output weightings are included. The method is a generalisation of Lin and Chiu's (1992) technique and can handle weighting transfer functions which are proper rather than only strictly proper. A frequency response error bound for the proposed technique is also derived which is applicable for proper (including strictly proper) weighting functions.