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.
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页数：10
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