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二维系统一般模型的正实控制
引用本文:戴江涛,郭照庄,程广涛.二维系统一般模型的正实控制[J].北华航天工业学院学报,2012,22(6):13-18.
作者姓名:戴江涛  郭照庄  程广涛
作者单位:北华航天工业学院基础科学部,河北廊坊,065000
基金项目: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。

关 键 词:二维离散系统  一般模型  线性矩阵不等式  正实控制

Positive Real Control for 2-D Discrete Systems Described by the General Model
DAI Jiang-tao,GUO Zhao-zhuang,CHENG Guang-tao.Positive Real Control for 2-D Discrete Systems Described by the General Model[J].Journal of North China Institute of Aerospace Engineering,2012,22(6):13-18.
Authors:DAI Jiang-tao  GUO Zhao-zhuang  CHENG Guang-tao
Institution:(Fundamental Science Department,North China Institute of Aerospace Engineering,Langfang 065000,China)
Abstract: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.
Keywords:2-D systems  the general model  linear matrix inequality(LMI)  positive real control
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