分散固定模的结构

ON THE STRUCTURE OF DECENTRALIZEDFIXED MODE

本文对分散控制系统定义了分散输入固定模和它的重数,给出了它与分散固定模集的关系,并就两个控制站v=2的情况给出了它的计算方法。特别,本文还定义了单个控制站的最大能控结构,并发现了在系统第一站具有最大能控结构时,输入固定模的重数与C_2不能观子空间及B_1不能控商空间之间的关系,使得本文所得的结论能推广到站数v大于2的情况。

In this paper the decentralized input fixed mode and its multiplicity of decentralized systems are defined, its relations with decentralized fixed mode are given, and the method for calculating the multiplicity with two stations, v=2, is advanced. Especially, we define the largest controllability structure for single station. We discover the relationship between the multiplicity of input fixed mode and the subspace that is both uncontrollable by B1 and unobservable by C2 when the decetralized system has reached the largest controllability structure for the first station. The results given here can be genelized into the case that v is greater than 2.