Act-and-wait control concept for discrete-time systems with feedback delay

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

Original languageEnglish
Pages (from-to)553-557
Number of pages5
JournalIET Control Theory and Applications
Volume1
Issue number3
DOIs
Publication statusPublished - 2007

Fingerprint

Feedback Delay
Discrete-time Systems
Pole
Poles
Feedback
Controllability
n-dimensional
Time Delay
Time delay
Zero
Concepts

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization

Cite this

Act-and-wait control concept for discrete-time systems with feedback delay. / Insperger, T.; Stépán, G.

In: IET Control Theory and Applications, Vol. 1, No. 3, 2007, p. 553-557.

Research output: Contribution to journalArticle

@article{facb62206e3348be80eb08421c40109e,
title = "Act-and-wait control concept for discrete-time systems with feedback delay",
abstract = "Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.",
author = "T. Insperger and G. St{\'e}p{\'a}n",
year = "2007",
doi = "10.1049/iet-cta:20060051",
language = "English",
volume = "1",
pages = "553--557",
journal = "IET Control Theory and Applications",
issn = "1751-8644",
publisher = "Institution of Engineering and Technology",
number = "3",

}

TY - JOUR

T1 - Act-and-wait control concept for discrete-time systems with feedback delay

AU - Insperger, T.

AU - Stépán, G.

PY - 2007

Y1 - 2007

N2 - Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

AB - Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

UR - http://www.scopus.com/inward/record.url?scp=34248343797&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248343797&partnerID=8YFLogxK

U2 - 10.1049/iet-cta:20060051

DO - 10.1049/iet-cta:20060051

M3 - Article

VL - 1

SP - 553

EP - 557

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 3

ER -