Switching surface design for mismatched uncertain systems with time delay

An LMI approach

Min Kook Song, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given in terms of linear matrix inequalities (LMIs). A numerical example is included to demonstrate the effectiveness of the theoretical results obtained

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Pages842-846
Number of pages5
DOIs
Publication statusPublished - 2006 Dec 1
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Other

Other2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of
CityBusan
Period06/10/1806/10/21

Fingerprint

Uncertain systems
Linear matrix inequalities
Time delay

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Song, M. K., Park, J. B., & Joo, Y. H. (2006). Switching surface design for mismatched uncertain systems with time delay: An LMI approach. In 2006 SICE-ICASE International Joint Conference (pp. 842-846). [4108942] https://doi.org/10.1109/SICE.2006.315404
Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon. / Switching surface design for mismatched uncertain systems with time delay : An LMI approach. 2006 SICE-ICASE International Joint Conference. 2006. pp. 842-846
@inproceedings{b5c9b9f0551042ffaa8071fb82062ff5,
title = "Switching surface design for mismatched uncertain systems with time delay: An LMI approach",
abstract = "This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given in terms of linear matrix inequalities (LMIs). A numerical example is included to demonstrate the effectiveness of the theoretical results obtained",
author = "Song, {Min Kook} and Park, {Jin Bae} and Joo, {Young Hoon}",
year = "2006",
month = "12",
day = "1",
doi = "10.1109/SICE.2006.315404",
language = "English",
isbn = "8995003855",
pages = "842--846",
booktitle = "2006 SICE-ICASE International Joint Conference",

}

Song, MK, Park, JB & Joo, YH 2006, Switching surface design for mismatched uncertain systems with time delay: An LMI approach. in 2006 SICE-ICASE International Joint Conference., 4108942, pp. 842-846, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.315404

Switching surface design for mismatched uncertain systems with time delay : An LMI approach. / Song, Min Kook; Park, Jin Bae; Joo, Young Hoon.

2006 SICE-ICASE International Joint Conference. 2006. p. 842-846 4108942.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Switching surface design for mismatched uncertain systems with time delay

T2 - An LMI approach

AU - Song, Min Kook

AU - Park, Jin Bae

AU - Joo, Young Hoon

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given in terms of linear matrix inequalities (LMIs). A numerical example is included to demonstrate the effectiveness of the theoretical results obtained

AB - This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given in terms of linear matrix inequalities (LMIs). A numerical example is included to demonstrate the effectiveness of the theoretical results obtained

UR - http://www.scopus.com/inward/record.url?scp=34250745207&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250745207&partnerID=8YFLogxK

U2 - 10.1109/SICE.2006.315404

DO - 10.1109/SICE.2006.315404

M3 - Conference contribution

SN - 8995003855

SN - 9788995003855

SP - 842

EP - 846

BT - 2006 SICE-ICASE International Joint Conference

ER -

Song MK, Park JB, Joo YH. Switching surface design for mismatched uncertain systems with time delay: An LMI approach. In 2006 SICE-ICASE International Joint Conference. 2006. p. 842-846. 4108942 https://doi.org/10.1109/SICE.2006.315404