Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems

D. H. Lee, J. B. Park, Y. H. Joo, K. C. Lin

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This study aims at developing new linear matrix inequality (LMI) conditions for robust D-stability and D-stabilisation of linear time-invariant uncertain systems in polytopic domains. An existing LMI condition for robust D-stability is lifted into those of larger dimensions that are given as functions of a certain integer κ. Based on the consequent conditions, new sufficient conditions for the existence of a state-feedback control law ensuring the robust D-stability of the closed-loop system is proposed in terms of LMIs. Finally, examples are given to illustrate the benefit of the proposed methods.

Original languageEnglish
Pages (from-to)24-36
Number of pages13
JournalIET Control Theory and Applications
Volume6
Issue number1
DOIs
Publication statusPublished - 2012 Jan 5

Fingerprint

Linear systems
Stabilization
Linear Systems
Linear matrix inequalities
Matrix Inequality
Linear Inequalities
State Feedback Control
Uncertain systems
Uncertain Systems
State feedback
Closed loop systems
Closed-loop System
Feedback control
Linear Time
Integer
Invariant
Sufficient Conditions

All Science Journal Classification (ASJC) codes

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

Cite this

@article{615c3a402b3949e599c2d046c8630491,
title = "Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems",
abstract = "This study aims at developing new linear matrix inequality (LMI) conditions for robust D-stability and D-stabilisation of linear time-invariant uncertain systems in polytopic domains. An existing LMI condition for robust D-stability is lifted into those of larger dimensions that are given as functions of a certain integer κ. Based on the consequent conditions, new sufficient conditions for the existence of a state-feedback control law ensuring the robust D-stability of the closed-loop system is proposed in terms of LMIs. Finally, examples are given to illustrate the benefit of the proposed methods.",
author = "Lee, {D. H.} and Park, {J. B.} and Joo, {Y. H.} and Lin, {K. C.}",
year = "2012",
month = "1",
day = "5",
doi = "10.1049/iet-cta.2010.0197",
language = "English",
volume = "6",
pages = "24--36",
journal = "IET Control Theory and Applications",
issn = "1751-8644",
publisher = "Institution of Engineering and Technology",
number = "1",

}

Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems. / Lee, D. H.; Park, J. B.; Joo, Y. H.; Lin, K. C.

In: IET Control Theory and Applications, Vol. 6, No. 1, 05.01.2012, p. 24-36.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems

AU - Lee, D. H.

AU - Park, J. B.

AU - Joo, Y. H.

AU - Lin, K. C.

PY - 2012/1/5

Y1 - 2012/1/5

N2 - This study aims at developing new linear matrix inequality (LMI) conditions for robust D-stability and D-stabilisation of linear time-invariant uncertain systems in polytopic domains. An existing LMI condition for robust D-stability is lifted into those of larger dimensions that are given as functions of a certain integer κ. Based on the consequent conditions, new sufficient conditions for the existence of a state-feedback control law ensuring the robust D-stability of the closed-loop system is proposed in terms of LMIs. Finally, examples are given to illustrate the benefit of the proposed methods.

AB - This study aims at developing new linear matrix inequality (LMI) conditions for robust D-stability and D-stabilisation of linear time-invariant uncertain systems in polytopic domains. An existing LMI condition for robust D-stability is lifted into those of larger dimensions that are given as functions of a certain integer κ. Based on the consequent conditions, new sufficient conditions for the existence of a state-feedback control law ensuring the robust D-stability of the closed-loop system is proposed in terms of LMIs. Finally, examples are given to illustrate the benefit of the proposed methods.

UR - http://www.scopus.com/inward/record.url?scp=84555220499&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84555220499&partnerID=8YFLogxK

U2 - 10.1049/iet-cta.2010.0197

DO - 10.1049/iet-cta.2010.0197

M3 - Article

AN - SCOPUS:84555220499

VL - 6

SP - 24

EP - 36

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 1

ER -