一类离散时间非线性系统降维观测器设计  

REDUCED-ORDER OBSERVERS FOR A CLASS OF DISCRETE-TIME NONLINEAR SYSTEMS

作　　者：赵岩斌[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学杂志》2013年第4期743-751,共9页Journal of Mathematics

基　　金：黑龙江省自然科学基金资助(A201009);黑龙江省教育厅基金资助(12521161)

摘　　要：本文研究了一类离散时间非线性系统降维观测器设计问题.利用微分中值定理和Schur补,得到了这类非线性系统降维观测器的设计判据.所给判据为线性矩阵不等式形式.与现在已有文献中的判据相比,本文得到的判据不仅可用于离散时间可微Lipschitz非线性系统而且可用于某些离散时间的非Lipschitz非线性系统.文末,给出了几个仿真算例以验证所得结论的正确性.In this paper, the reduced-order observer design for a class of discrete-time nonlinear systems is investigated. Based on the differential mean value theorem and Schur complement, the designing method of reduced-order observer for the class of nonlinear systems is proposed. The proposed sufficient conditions are given in terms of linear matrix inequalities. The present approach is applicable not only to the discrete-time differential Lipschitz nonlinear systems but also to the systems which are not ordinary Lipschitz nonlinear systems. Some examples are given to illustrate the proposed approach.

关 键 词：离散时间非线性系统 观测器设计 线性矩阵不等式 微分中值定理 

分 类 号：O231.2[理学—运筹学与控制论]