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一类时滞离散非线性系统的全维观测器设计
引用本文:郭真真,高存臣.一类时滞离散非线性系统的全维观测器设计[J].南京气象学院学报,2016,8(1):91-96.
作者姓名:郭真真  高存臣
作者单位:中国海洋大学 数学科学学院, 青岛, 266100;中国海洋大学 数学科学学院, 青岛, 266100
基金项目: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.

关 键 词:非线性离散系统  时滞  全维观测器  鲁棒观测器
收稿时间:2014/1/28 0:00:00

A full order observer design for a class of nonlinear discrete system with time-delay
GUO Zhenzhen and GAO Cunchen.A full order observer design for a class of nonlinear discrete system with time-delay[J].Journal of Nanjing Institute of Meteorology,2016,8(1):91-96.
Authors:GUO Zhenzhen and GAO Cunchen
Institution:College of Mathematical Sciences, Ocean University of China, Qingdao 266100;College of Mathematical Sciences, Ocean University of China, Qingdao 266100
Abstract: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.
Keywords:nonlinear discrete system  time delay  full order observer  robust observer
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