一类时滞离散非线性系统的全维观测器设计  

A full order observer design for a class of nonlinear discrete system with time-delay

作　　者：郭真真[1] 高存臣[1] 

机构地区：[1]中国海洋大学数学科学学院,青岛266100

出　　处：《南京信息工程大学学报（自然科学版）》2016年第1期91-96,共6页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(60974025)

摘　　要：通过类Lyapunov方法,结合线性矩阵不等式(LMI)技术,给出了具有时滞的Lipschitz非线性离散系统全维观测器存在的充分条件.在此基础上,设计了具有扰动的时滞Lipschitz非线性离散系统的鲁棒观测器,提出了该鲁棒观测器存在的一个充分条件,并用具体例子说明了其可行性与有效性.Observer design problem is studied mainly for the Lipchitz nonlinear discrete system with time delays in this paper.Some sufficient conditions are obtained for the existence of full order observer of the system by using Lyapunov-like method and the linear matrix inequality（ LMI） technique. A robust observer is designed for the system with disturbance.A sufficient condition is proposed for the existence of robust observer.Finally,an example is given to illustrate the effectiveness and feasibility of the proposed method in the paper.

关 键 词：非线性离散系统 时滞 全维观测器 鲁棒观测器 

分 类 号：O231.1[理学—运筹学与控制论] TP273[理学—数学]