Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems

被引：1

作者：

Liao, Fucheng ^{[1
,2
]}

Wu, Yingxue ^{[1
,2
]}

Yu, Xiao ^{[1
,2
]}

Deng, Jiamei ^{[3
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Informat & Comp Sci, Beijing 100083, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing Key Lab Magnetophotoelect Composite & Int, Beijing 100083, Peoples R China

[3] Leeds Beckett Univ, Sch Comp Creat Technol & Engn, Leeds LS6 3QS, W Yorkshire, England

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2018年 / 2018卷

基金：

国家重点研发计划;

关键词：

STABILITY;

D O I：

10.1155/2018/7017135

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.

引用

页数：10

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