一种改进的频率加权平衡降阶方法

An Improved Frequency Weighted Balanced Reduction Technique

通过引入参数,提出了一种改进的频率加权平衡降阶方法。该方法在双边加权的情况下,既保证了降阶模型的稳定性,同时与已有算法相比较,得出的降阶误差相对较小。此外,推导出的先验误差界公式也更为简明,便于计算。最后,通过算例,与已知的方法相比较,证实了所提出的方法的有效性。

In this paper,we present an improved frequency weighted balanced reduction technique.The method is based on an accuracy-enhancing idea.The reduced order models are guaranteed to be stable in case of double-sided weighting.Meanwhile,the approximation error is relatively smaller than other well-known methods.Simple,elegant and easily calculated a priori error bounds are also derived.Two numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.