基于内部平衡系统的一种模型降阶方法

A model reduction method based on internal balanced system

为简化大系统分散控制器的设计,提出了一种基于内部平衡系统的模型简化方法.这种方法首先把一个一致稳定的系统转化成一个内部平衡系统,然后选择一个内部优势子系统作为降阶模型,该子系统可保留原系统的强可控可观部分,并有一定的稳定性.最后给出了计算实例,并对所得结果进行了分析.

In order to simplify the controller design of large scale systems, a model reduction method based on internal balanced system is proposed, through which a given stable system is transformed into a internal balanced system.Then an internal superior sub-system is selected as the reduced model which retains the strong controllable as well as observable parts of the system and has certain stability. An example is given and the obtained results are analyzed at the end of this paper.