一类时滞Lipschitz非线性离散广义系统观测器的设计  

Observer design for a class of Lipschitz nonlinear discrete-time singular systems with time-delay

作　　者：孙延修[1] 黎虹[1] 潘斌[2] Sun Yanxiu;Li Hong;Pan Bin(Basic Course Department,Shenyang Institute of Technology,Fushun 113122,China;College of Science,Liaoning Shihua University,Fushun 113001,China)

机构地区：[1]沈阳工学院基础课部,辽宁抚顺113122 [2]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《纯粹数学与应用数学》2018年第3期316-322,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(61602228;61572290);辽宁省教育厅科学研究一般项目(L2015381)

摘　　要：针对一类时滞Lipschitz非线性离散广义系统,主要研究了系统的观测器设计问题.首先,基于广义系统的特殊结构对时滞广义系统进行变换,将系统转化为易于求取观测器的形式;其次,考虑到系统中的Lipschitz非线性项,将系统分两种情况并分别设计出了系统的观测器;最后,为保证系统与观测器的误差系统渐近稳定,通过利用线性矩阵不等式(LMI)的方法给出了两个观测器存在的条件,并通过数值例子验证了观测器设计方法的有效性.The problem of observer design for a class of Lipschitz nonlinear discrete-time singular systems with time delay is studied.First,the system is transformed into a form of observer which is easy to obtain based on the special structure of descriptor systems;Second,considering the Lipschitz nonlinearity in the system,the system is divided into two situations and observers of systems are designed respectively;Finally,in order to ensure the asymptotic stability of the error system,the condition of the existence of two observers is given by using the method of linear matrix inequality(LMI)and the effectiveness of the observer design method is illustrated through a numerical example.

关 键 词：观测器 广义系统 非线性离散系统 时滞 

分 类 号：O29[理学—应用数学]