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.
出处
《北华航天工业学院学报》
CAS
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)
关键词
二维离散系统
一般模型
线性矩阵不等式
正实控制
2-D systems
the general model
linear matrix inequality(LMI)
positive real control