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一类离散时间非线性系统降维观测器设计

赵岩斌

数学杂志2013,Vol.33Issue(4):743-751,9.
数学杂志2013,Vol.33Issue(4):743-751,9.

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

赵岩斌1

作者信息

  • 1. 哈尔滨师范大学数学科学学院,黑龙江哈尔滨 150025
  • 折叠

摘要

Abstract

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

Key words

discrete-time nonlinear systems/ observer design/ linear matrix inequality/ differential mean value theorem

分类

数理科学

引用本文复制引用

赵岩斌..一类离散时间非线性系统降维观测器设计[J].数学杂志,2013,33(4):743-751,9.

基金项目

黑龙江省自然科学基金资助(A201009) (A201009)

黑龙江省教育厅基金资助(12521161). (12521161)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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