互联大系统能控能观性模型简化

The Model Reduction of Controllable and Obervable Multivariable Large-Scale Systems

不能控不能观系统可以集结成为一个能观但不能控的系统,这是传统的结论。本文提出一种旨在改变系统结构的新集结方法,可以把不能控和/或不能观系统集结成为具有相同输入输出关系且能控能观系统。并利用此结果对互联大系统进行分散能控能观性模型简化,并且给出若干重要理论结果和算法。

It is an old conclusion that the uncontrollable-unobervable system can be aggregated to observable but uncontrollable system.This paper gives a new aggregation method that changes the structure of system.The uncontrollable and for unobservable system can be aggregated to controllable and observable system with the same relationship of input-output by using this method and model reduction of decentralized controllable-observable for the multivariable large-scale system was given.We give several important results and algorithm.