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

doi:10.1109/ACC.2016.7525343

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

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

10 Scopus citations

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 language	English (US)
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2802-2807
Number of pages	6
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7525343
State	Published - Jul 28 2016
Event	2016 American Control Conference, ACC 2016 - Boston, United States Duration: Jul 6 2016 → Jul 8 2016

Publication series

Name	Proceedings of the American Control Conference
Volume	2016-July
ISSN (Print)	0743-1619

Other

Other	2016 American Control Conference, ACC 2016
Country/Territory	United States
City	Boston
Period	7/6/16 → 7/8/16

Bibliographical note

Publisher Copyright:
© 2016 American Automatic Control Council (AACC).

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10.1109/ACC.2016.7525343

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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). Article 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. et al.
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 proceeding › Conference 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). doi: 10.1109/ACC.2016.7525343

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

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