MINIMUM ENERGY CONTROL OF FRACTIONAL DESCRIPTOR POSITIVE DISCRETE-TIME LINEAR SYSTEMS

被引：21

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2014年 / 24卷 / 04期

关键词：

fractional system; descriptor system; positive system; minimum energy control; STABILITY; CONTROLLABILITY; DELAYS;

D O I：

10.2478/amcs-2014-0054

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.

引用

页码：735 / 743

页数：9

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