Minimum energy control of descriptor positive discrete-time linear systems

被引：25

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Bialystok, Poland

来源：

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING | 2014年 / 33卷 / 03期

关键词：

Systems theory; Optimal control; Control theory; Linear systems; State space; STABILITY;

D O I：

10.1108/COMPEL-04-2013-0111

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Purpose - The purpose of this paper is to formulate and solve the minimum energy control problem of descriptor positive discrete-time linear systems. Design/methodology/approach - A procedure for computation of the optimal input sequences and the minimal value of the performance index is proposed. Findings - Necessary and sufficient conditions for the positivity and reachability of descriptor positive discrete-time linear systems and sufficient conditions for the existence of solution to the minimum energy control problem are given. Originality/value - A method for solving of the minimum energy control problem of descriptor positive discrete-time linear systems is proposed.

引用

页码：976 / 988

页数：13

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