广义线性系统的内模原理

考察有外干扰作用的广义线性系统(?)这里 x∈R~n,u∈R~r,y∈R~q,z∈R~p 分别表示广义线性系统(1.1)的状态矢量、控制矢量、调节矢量和量测输出矢量。E∈R~(n×n)是降秩阵,但 detsE-A](?)0,即sE-A]是正则矩阵束。A,B,F,C_1,C_2,D_1,D_2是具有相应维数的矩阵。假定外部干扰 f 受常微方程模型

THE INTERNAL MODEL PRINCIPLE FOR GENERALIZED LINEAR SYSTEMS

The paper deals with the problem of output regulation for a generalized linearsystem.Conditions for designing a structurally stable compensator are given by decom-posing the generalized system into fast subsystem and slow subsystem.Based on theresult,the internal model principle for the generalized linear system is obtained.Also,a method for designing a structurally stable compensator is provided.The results are consistent with those of regular linear systems,when the generali-zed system becomes a regular linear system.