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

共 50 条

[1] Minimum energy control of descriptor positive discrete-time linear systems
Kaczorek, Tadeusz
[J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2014, 33 (03) : 976 - 988
[2] MINIMUM ENERGY CONTROL OF DESCRIPTOR FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS WITH TWO DIFFERENT FRACTIONAL ORDERS
Sajewski, Lukasz
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2017, 27 (01) : 33 - 41
[3] MINIMUM ENERGY CONTROL PROBLEM OF POSITIVE FRACTIONAL DISCRETE-TIME SYSTEMS
Kaczorek, Tadeusz
[J]. 22ND EUROPEAN CONFERENCE ON MODELLING AND SIMULATION, PROCEEDINGS, 2008, : 500 - +
[4] MINIMUM ENERGY CONTROL OF FRACTIONAL DESCRIPTOR DISCRETE-TIME LINEAR SYSTEMS WITH BOUNDED INPUTS USING THE DRAZIN INVERSE
Kaczorek, Tadeusz
[J]. ASIAN JOURNAL OF CONTROL, 2017, 19 (06) : 2211 - 2218
[5] Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems
Kaczorek, Tadeusz
[J]. NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 3 - 13
[6] Minimum energy control of positive fractional descriptor continuous-time linear systems
Kaczorek, Tadeusz
[J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (04): : 219 - 225
[7] Minimum Energy Control of Fractional Discrete-Time Linear Systems with Delays in State and Control
Kociszewski, Rafal
[J]. RECENT ADVANCES IN AUTOMATION, ROBOTICS AND MEASURING TECHNIQUES, 2014, 267 : 127 - 136
[8] Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays
Sajewski, Lukasz
[J]. AUTOMATION 2018: ADVANCES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES, 2018, 743 : 276 - 287
[9] Fractional Standard and Positive Descriptor Time-Varying Discrete-Time Linear Systems
Kaczorek, Tadeusz
[J]. PROGRESS IN AUTOMATION, ROBOTICS AND MEASURING TECHNIQUES: CONTROL AND AUTOMATION, 2015, 350 : 101 - 112
[10] POSITIVITY OF FRACTIONAL DESCRIPTOR LINEAR DISCRETE-TIME SYSTEMS
Kaczorek, Tadeusz
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2019, 29 (02) : 305 - 310

← 1 2 3 4 5 →