单边Lipschitz离散非线性系统的降阶观测器设计  

Reduced-Order Observer Design for Discrete-Time One-Sided Lipschitz Nonlinear Systems

作　　者：余正林 赵岩斌[2] 董文强 YU Zhenglin;ZHAO Yanbin;DONG Wenqiang(Department of Mathematics,Shanghai University,Shanghai 200444,China;School of Mathematical Sciences,Harbin Normal University,Harbin 150025,China)

机构地区：[1]上海大学数学系,上海200444 [2]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《应用数学》2020年第4期929-937,共9页Mathematica Applicata

基　　金：国家自然科学基金(11971303)。

摘　　要：本文对一类非线性系统的降阶观测器的设计问题进行研究,基于单边Lipschitz条件和二次内积有界条件,证明全阶观测器渐近稳定的充分条件也适用于降阶观测器,即当满足全阶观测器的条件时,降阶观测器也是渐近稳定的.最后给出一个数值算例,说明了所提结果的有效性.In this paper,the reduced-order observer design for a class of nonlinear systems is considered.Based on the one-sided Lipschitz condition and the condition of quadratic inner-boundedness,a reduced-order observer for discrete-time nonlinear systems is given.The results show that the existence of the reduced-order observer is also guaranteed when the conditions of the full-order observer are satisfied.Finally,a numerical example is given to illustrate the effectiveness of the proposed results.

关 键 词：离散非线性系统 降阶观测器 单边LIPSCHITZ条件 二次内积有界 

分 类 号：O231[理学—运筹学与控制论]