A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

A. Zemouche, M. Zerrougui, B. Boulkroune, R. Rajamani, M. Zasadzinski

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

3 Citations (Scopus)

Abstract

This paper deals with observer-based controller design problem for discrete-time Linear Parameter Varying (LPV) systems with uncertain parameters. The proposed technique consists in designing an observer-based controller which stabilizes the LPV system, provided that the norm of the difference between the measured parameter and the real one does not exceed a tolerated maximum value. The particularity of the proposed design method, compared to some existing methods in the literature, is that it works on one systematic step, without any a priori choice of some observer-based controller parameters. The solution is formulated in terms of a single set of Linear Matrix Inequalities (LMIs). Besides, a relaxation of the proposed design with respect to the uncertainty is provided. The proposed approach is compared with other similar stabilization approaches, through two numerical examples.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2802-2807
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

Linear matrix inequalities
Controllers
Stabilization

Cite this

Zemouche, A., Zerrougui, M., Boulkroune, B., Rajamani, R., & Zasadzinski, M. (2016). A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. In 2016 American Control Conference, ACC 2016 (pp. 2802-2807). [7525343] (Proceedings of the American Control Conference; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7525343

A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. / Zemouche, A.; Zerrougui, M.; Boulkroune, B.; Rajamani, R.; Zasadzinski, M.

2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2802-2807 7525343 (Proceedings of the American Control Conference; Vol. 2016-July).

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

Zemouche, A, Zerrougui, M, Boulkroune, B, Rajamani, R & Zasadzinski, M 2016, A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. in 2016 American Control Conference, ACC 2016., 7525343, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 2802-2807, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7525343
Zemouche A, Zerrougui M, Boulkroune B, Rajamani R, Zasadzinski M. A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. In 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2802-2807. 7525343. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2016.7525343
Zemouche, A. ; Zerrougui, M. ; Boulkroune, B. ; Rajamani, R. ; Zasadzinski, M. / A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters. 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2802-2807 (Proceedings of the American Control Conference).
@inproceedings{8c1509df57f9448a980d7880c50ce82f,
title = "A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters",
abstract = "This paper deals with observer-based controller design problem for discrete-time Linear Parameter Varying (LPV) systems with uncertain parameters. The proposed technique consists in designing an observer-based controller which stabilizes the LPV system, provided that the norm of the difference between the measured parameter and the real one does not exceed a tolerated maximum value. The particularity of the proposed design method, compared to some existing methods in the literature, is that it works on one systematic step, without any a priori choice of some observer-based controller parameters. The solution is formulated in terms of a single set of Linear Matrix Inequalities (LMIs). Besides, a relaxation of the proposed design with respect to the uncertainty is provided. The proposed approach is compared with other similar stabilization approaches, through two numerical examples.",
author = "A. Zemouche and M. Zerrougui and B. Boulkroune and R. Rajamani and M. Zasadzinski",
year = "2016",
month = "7",
day = "28",
doi = "10.1109/ACC.2016.7525343",
language = "English (US)",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2802--2807",
booktitle = "2016 American Control Conference, ACC 2016",

}

TY - GEN

T1 - A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

AU - Zemouche, A.

AU - Zerrougui, M.

AU - Boulkroune, B.

AU - Rajamani, R.

AU - Zasadzinski, M.

PY - 2016/7/28

Y1 - 2016/7/28

N2 - This paper deals with observer-based controller design problem for discrete-time Linear Parameter Varying (LPV) systems with uncertain parameters. The proposed technique consists in designing an observer-based controller which stabilizes the LPV system, provided that the norm of the difference between the measured parameter and the real one does not exceed a tolerated maximum value. The particularity of the proposed design method, compared to some existing methods in the literature, is that it works on one systematic step, without any a priori choice of some observer-based controller parameters. The solution is formulated in terms of a single set of Linear Matrix Inequalities (LMIs). Besides, a relaxation of the proposed design with respect to the uncertainty is provided. The proposed approach is compared with other similar stabilization approaches, through two numerical examples.

AB - This paper deals with observer-based controller design problem for discrete-time Linear Parameter Varying (LPV) systems with uncertain parameters. The proposed technique consists in designing an observer-based controller which stabilizes the LPV system, provided that the norm of the difference between the measured parameter and the real one does not exceed a tolerated maximum value. The particularity of the proposed design method, compared to some existing methods in the literature, is that it works on one systematic step, without any a priori choice of some observer-based controller parameters. The solution is formulated in terms of a single set of Linear Matrix Inequalities (LMIs). Besides, a relaxation of the proposed design with respect to the uncertainty is provided. The proposed approach is compared with other similar stabilization approaches, through two numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=84992151044&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992151044&partnerID=8YFLogxK

U2 - 10.1109/ACC.2016.7525343

DO - 10.1109/ACC.2016.7525343

M3 - Conference contribution

AN - SCOPUS:84992151044

T3 - Proceedings of the American Control Conference

SP - 2802

EP - 2807

BT - 2016 American Control Conference, ACC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

ER -