The objective of this article is the construction of a new model reduction method for the simplification of large-scale linear dynamical plants. In this method, the denominator of the lower order plant is determined by using the balanced truncation technique and the numerator is obtained by the Padé approximation method. This technique is given for the removal of existing limitations of the Padé approximation and the balanced truncation method. In this proposed method, it is ensured the stability and steady-state value of the original system are preserved in the reduced model. Thus the instability problem of the Padé approximation method and the steady-state error limitation of the balanced truncation method are circumvented. The advantages of the Padé approximation and the balanced truncation method are retained in the reduced model. For showing the accuracy and simplicity of the proposed method, standard numerical examples are simplified. This method is also compared to the recent and standard methods of the model diminution with the help of MATLAB.

本文的目的是构建一种新的模型简化方法，用于简化大型线性动力植物。在该方法中，低阶植物的分母采用平衡截断技术确定，分子采用帕德近似法获得。该技术用于消除 Padé 近似和平衡截断方法的现有限制。在该方法中，保证了原始系统的稳定性和稳态值在简化模型中得以保留。从而规避了Padé逼近法的不稳定性问题和平衡截断法的稳态误差限制。Padé近似和平衡截断方法的优点在简化模型中得以保留。为了显示所提出方法的准确性和简单性，简化了标准数值示例。在 MATLAB 的帮助下，该方法还与模型缩小的最新标准方法进行了比较。