Convex optimization based dual gain observer design for Lipschitz nonlinear systems

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

doi:10.1109/ACC.2016.7524903

Convex optimization based dual gain observer design for Lipschitz nonlinear systems

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

Mechanical Engineering

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

9 Scopus citations

Abstract

This paper deals with observer design for nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs). Based on some recent work on the LPV approach, less conservative results are provided. To obtain LMIs, algorithms are proposed to design, a priori, some suitable observer parameters that enhance the feasibility of the LMIs. Interesting guidelines and techniques are proposed to reduce the number of LMIs of the classical LPV approach, decrease the effect of huge values of Lipschitz constant, which is the weakness of the standard LMI approaches.

Original language	English (US)
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	125-130
Number of pages	6
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7524903
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).

Keywords

Convex optimization
LMI approach
Lipschitz systems
Observers design

Publisher link

10.1109/ACC.2016.7524903

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Zemouche, A., Rajamani, R., Boulkroune, B., Rafaralahy, H., & Zasadzinski, M. (2016). Convex optimization based dual gain observer design for Lipschitz nonlinear systems. In 2016 American Control Conference, ACC 2016 (pp. 125-130). Article 7524903 (Proceedings of the American Control Conference; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7524903

Convex optimization based dual gain observer design for Lipschitz nonlinear systems. / Zemouche, A.; Rajamani, R.; Boulkroune, B. et al.
2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 125-130 7524903 (Proceedings of the American Control Conference; Vol. 2016-July).

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

Zemouche, A, Rajamani, R, Boulkroune, B, Rafaralahy, H & Zasadzinski, M 2016, Convex optimization based dual gain observer design for Lipschitz nonlinear systems. in 2016 American Control Conference, ACC 2016., 7524903, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 125-130, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7524903

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AB - This paper deals with observer design for nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs). Based on some recent work on the LPV approach, less conservative results are provided. To obtain LMIs, algorithms are proposed to design, a priori, some suitable observer parameters that enhance the feasibility of the LMIs. Interesting guidelines and techniques are proposed to reduce the number of LMIs of the classical LPV approach, decrease the effect of huge values of Lipschitz constant, which is the weakness of the standard LMI approaches.

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Convex optimization based dual gain observer design for Lipschitz nonlinear systems

Abstract

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Keywords

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