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从大系统及其降阶模型的单位脉冲响应矩阵近似相等出发,推导了大系统及其降阶模型的特征值应该遵守的关系式。利用该关系式可以改进大系统模型简化的时域最优逼近法,将泛函求极值的问题转化为参数优化的问题,有可能使问题的解决简单化。本文提出了两种算法:1)保留主特征值的最优逼近;2)修改特征值的最优逼近。附有数字实例。
Starting from the approximate equal impulse response matrix of the large-scale system and its reduced-order model, the relation between the eigenvalues of large-scale systems and their reduced-order models should be deduced. The relational formula can be used to improve the time-domain optimal approximation method of large-scale system model simplification. The problem of functional extremum value conversion is transformed into parameter optimization problem, which may simplify the problem solving. In this paper, two algorithms are proposed: 1) preserving the optimal approximation of the main eigenvalues; and 2) modifying the optimal eigenvalue approximation. Attached to the digital examples.