平衡降阶方法及其进展

大系统模型降阶作为一个理论课题,自60年代末至今日益受到国内外广大控制界人士的关注,提出了大量模型降阶方法。然而,1981年,Moore提出的内平衡实现理论给模型降阶方法带来了一次变革,许多经典方法一旦与平衡理论结合起来,便形成了更加简洁、有效的降阶方法。本文综述了这一领域的现有文献,并指出了若干进一步研究的可能方向,为便于应用,本文还给出了每种典型方法的数字实现过程。

Balanced Reduction Method and Its Development

Since 1960s many scholars at home and abroad have been following with interest the research on the model reduction method for large-scale systems as a theoretical problem. A lot of model reduction methods have been presented. But in 1981, Moore developed a new Internal Balanced Realization theory that has renovated these model reduction methods. More practical reduced methods are formed once many classical methods are combined with balanced theory. This paper has summarized available literatures in this area, pointed out some possible directions of the further research, and given the digital realization process for each typical method.