FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties

Dong Hwan Lee, Jin Bae Park, Young Hoon Joo, Sung Kwan Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Recently, the so-called FIR-type (FIR, finite impulse response) state-feedback memory controller and periodic memory controller have been developed, and it was revealed that this control design approach can reduce the conservatism of stability and stabilization conditions for periodic or uncertain systems. In these work, the system duality and a descriptor representation of the original system are used. In this paper, we focus only on the FIRtype state-feedback memory controller design problem, which is a special case of the general memory controller structure previously developed. Although the structure of the controller considered in this paper is a particular case of the existing one, this special consideration gives some benefits, which are the main purpose of this paper. Finally, examples demonstrate the effectiveness of the FIR-type state-feedback memory controller in terms of less conservatism.

Original languageEnglish
Pages (from-to)906-914
Number of pages9
JournalInternational Journal of Control, Automation and Systems
Volume14
Issue number4
DOIs
Publication statusPublished - 2016 Aug 1

Fingerprint

Impulse response
State feedback
Feedback control
Controllers
Data storage equipment
Uncertain systems
Time varying systems
Uncertainty
Stabilization

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

@article{19d2e746b4e043ef831170a5643540f0,
title = "FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties",
abstract = "Recently, the so-called FIR-type (FIR, finite impulse response) state-feedback memory controller and periodic memory controller have been developed, and it was revealed that this control design approach can reduce the conservatism of stability and stabilization conditions for periodic or uncertain systems. In these work, the system duality and a descriptor representation of the original system are used. In this paper, we focus only on the FIRtype state-feedback memory controller design problem, which is a special case of the general memory controller structure previously developed. Although the structure of the controller considered in this paper is a particular case of the existing one, this special consideration gives some benefits, which are the main purpose of this paper. Finally, examples demonstrate the effectiveness of the FIR-type state-feedback memory controller in terms of less conservatism.",
author = "Lee, {Dong Hwan} and Park, {Jin Bae} and Joo, {Young Hoon} and Kim, {Sung Kwan}",
year = "2016",
month = "8",
day = "1",
doi = "10.1007/s12555-015-0063-6",
language = "English",
volume = "14",
pages = "906--914",
journal = "International Journal of Control, Automation and Systems",
issn = "1598-6446",
publisher = "Institute of Control, Robotics and Systems",
number = "4",

}

FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties. / Lee, Dong Hwan; Park, Jin Bae; Joo, Young Hoon; Kim, Sung Kwan.

In: International Journal of Control, Automation and Systems, Vol. 14, No. 4, 01.08.2016, p. 906-914.

Research output: Contribution to journalArticle

TY - JOUR

T1 - FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties

AU - Lee, Dong Hwan

AU - Park, Jin Bae

AU - Joo, Young Hoon

AU - Kim, Sung Kwan

PY - 2016/8/1

Y1 - 2016/8/1

N2 - Recently, the so-called FIR-type (FIR, finite impulse response) state-feedback memory controller and periodic memory controller have been developed, and it was revealed that this control design approach can reduce the conservatism of stability and stabilization conditions for periodic or uncertain systems. In these work, the system duality and a descriptor representation of the original system are used. In this paper, we focus only on the FIRtype state-feedback memory controller design problem, which is a special case of the general memory controller structure previously developed. Although the structure of the controller considered in this paper is a particular case of the existing one, this special consideration gives some benefits, which are the main purpose of this paper. Finally, examples demonstrate the effectiveness of the FIR-type state-feedback memory controller in terms of less conservatism.

AB - Recently, the so-called FIR-type (FIR, finite impulse response) state-feedback memory controller and periodic memory controller have been developed, and it was revealed that this control design approach can reduce the conservatism of stability and stabilization conditions for periodic or uncertain systems. In these work, the system duality and a descriptor representation of the original system are used. In this paper, we focus only on the FIRtype state-feedback memory controller design problem, which is a special case of the general memory controller structure previously developed. Although the structure of the controller considered in this paper is a particular case of the existing one, this special consideration gives some benefits, which are the main purpose of this paper. Finally, examples demonstrate the effectiveness of the FIR-type state-feedback memory controller in terms of less conservatism.

UR - http://www.scopus.com/inward/record.url?scp=84966710110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966710110&partnerID=8YFLogxK

U2 - 10.1007/s12555-015-0063-6

DO - 10.1007/s12555-015-0063-6

M3 - Article

VL - 14

SP - 906

EP - 914

JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

SN - 1598-6446

IS - 4

ER -