H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions

A. Zemouche, R. Rajamani, B. Boulkroune, H. Rafaralahy, M. Zasadzinski

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

11 Citations (Scopus)

Abstract

This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms are included in the LMI, contrarily to some recent results, which turn to be particular cases of what we proposed in this paper. This additional decision variables allow to improve the feasibility of the proposed LMI. A numerical example is given to show the effectiveness of the proposed methodology.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages131-136
Number of pages6
ISBN (Electronic)9781467386821
DOIs
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

NameProceedings of the American Control Conference
Volume2016-July
ISSN (Print)0743-1619

Other

Other2016 American Control Conference, ACC 2016
CountryUnited States
CityBoston
Period7/6/167/8/16

Fingerprint

Nonlinear systems

Keywords

  • H∞synthesis
  • LMI approach
  • Lipschitz systems
  • Observers design

Cite this

Zemouche, A., Rajamani, R., Boulkroune, B., Rafaralahy, H., & Zasadzinski, M. (2016). H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions. In 2016 American Control Conference, ACC 2016 (pp. 131-136). [7524904] (Proceedings of the American Control Conference; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7524904

H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions. / Zemouche, A.; Rajamani, R.; Boulkroune, B.; Rafaralahy, H.; Zasadzinski, M.

2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 131-136 7524904 (Proceedings of the American Control Conference; Vol. 2016-July).

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

Zemouche, A, Rajamani, R, Boulkroune, B, Rafaralahy, H & Zasadzinski, M 2016, H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions. in 2016 American Control Conference, ACC 2016., 7524904, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 131-136, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7524904
Zemouche A, Rajamani R, Boulkroune B, Rafaralahy H, Zasadzinski M. H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions. In 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 131-136. 7524904. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2016.7524904
Zemouche, A. ; Rajamani, R. ; Boulkroune, B. ; Rafaralahy, H. ; Zasadzinski, M. / H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions. 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 131-136 (Proceedings of the American Control Conference).
@inproceedings{8f395f2c8099448aae6b693b6c3a724f,
title = "H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions",
abstract = "This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms are included in the LMI, contrarily to some recent results, which turn to be particular cases of what we proposed in this paper. This additional decision variables allow to improve the feasibility of the proposed LMI. A numerical example is given to show the effectiveness of the proposed methodology.",
keywords = "H∞synthesis, LMI approach, Lipschitz systems, Observers design",
author = "A. Zemouche and R. Rajamani and B. Boulkroune and H. Rafaralahy and M. Zasadzinski",
year = "2016",
month = "7",
day = "28",
doi = "10.1109/ACC.2016.7524904",
language = "English (US)",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "131--136",
booktitle = "2016 American Control Conference, ACC 2016",

}

TY - GEN

T1 - H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions

AU - Zemouche, A.

AU - Rajamani, R.

AU - Boulkroune, B.

AU - Rafaralahy, H.

AU - Zasadzinski, M.

PY - 2016/7/28

Y1 - 2016/7/28

N2 - This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms are included in the LMI, contrarily to some recent results, which turn to be particular cases of what we proposed in this paper. This additional decision variables allow to improve the feasibility of the proposed LMI. A numerical example is given to show the effectiveness of the proposed methodology.

AB - This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms are included in the LMI, contrarily to some recent results, which turn to be particular cases of what we proposed in this paper. This additional decision variables allow to improve the feasibility of the proposed LMI. A numerical example is given to show the effectiveness of the proposed methodology.

KW - H∞synthesis

KW - LMI approach

KW - Lipschitz systems

KW - Observers design

UR - http://www.scopus.com/inward/record.url?scp=84992111241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992111241&partnerID=8YFLogxK

U2 - 10.1109/ACC.2016.7524904

DO - 10.1109/ACC.2016.7524904

M3 - Conference contribution

AN - SCOPUS:84992111241

T3 - Proceedings of the American Control Conference

SP - 131

EP - 136

BT - 2016 American Control Conference, ACC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

ER -