二维系统一般模型的正实控制  

Positive Real Control for 2-D Discrete Systems Described by the General Model

作　　者：戴江涛[1] 郭照庄[1] 程广涛[1] 

机构地区：[1]北华航天工业学院基础科学部,河北廊坊065000

出　　处：《北华航天工业学院学报》2012年第6期13-18,共6页Journal of North China Institute of Aerospace Engineering

基　　金：北华航天工业学院科研课题(KY-2011-15)

摘　　要：本文研究的是二维系统一般模型的正实控制。本文的目的是针对该模型,设计一个状态反馈控制器,使得闭环系统是稳定的并且闭环传递函数是延展严格正实的,所得到的解是通过线性矩阵不等式给出,通过解决该线性矩阵不等式可获得期待的状态反馈控制器。最后,我们提供了一个数值算例来验证提到方法的有效性。This paper deals with the problem of positive real control for uncertain 2-D discrete systems in the General Model.The parameter uncertainty is assumed to be norm-bounded.The purpose is the design of state feedback controllers such that the closed-loop system is stable and the closed-loop transfer function is extended strictly positive real.In terms of a linear matrix inequality,a condition for the solvability of the problem is obtained,and a desired state feedback controller is given.Finally,we provide a numerical example to demonstrate the applicability of the proposed approach.

关 键 词：二维离散系统 一般模型 线性矩阵不等式 正实控制 

分 类 号：O231[理学—运筹学与控制论]