H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations

G. Phanomchocng; A. Zemouche; W. Jeons; Rajesh Rajamani; F. Mazenc

doi:10.23919/ACC.2018.8431687

H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations

G. Phanomchocng, A. Zemouche, W. Jeons, Rajesh Rajamani, F. Mazenc

Mechanical Engineering

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

16 Scopus citations

Abstract

This paper deals with the problem of H∞ observer design for a class of descriptor nonlinear systems with nonlinear output measurements. The established result is broad and can be applied to many estimation problems in nonlinear systems, such as unknown input estimation, fault diagnosis and state estimation. Based on the introduction of new assumptions involving a rank condition that specifies a constraint between the numbers of allowed unknown inputs, nonlinear functions, states and the number of measurements, a new Linear Matrix Inequality condition (LMI) for observer design is proposed. The obtained LMI is more general and less conservative, from a feasibility point of view, than those existing in the literature.

Original language	English (US)
Title of host publication	2018 Annual American Control Conference, ACC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5952-5956
Number of pages	5
ISBN (Print)	9781538654286
DOIs	https://doi.org/10.23919/ACC.2018.8431687
State	Published - Jan 1 2018
Event	2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018

Publication series

Name	Proceedings of the American Control Conference
Volume	2018-June
ISSN (Print)	0743-1619

Other

Other	2018 Annual American Control Conference, ACC 2018
Country/Territory	United States
City	Milwauke
Period	6/27/18 → 6/29/18

Bibliographical note

Publisher Copyright:
© 2018 AACC.

Keywords

Descriptor systems
LMIs
analysis
nonlinear systems

Publisher link

10.23919/ACC.2018.8431687

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Phanomchocng, G., Zemouche, A., Jeons, W., Rajamani, R., & Mazenc, F. (2018). H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations. In 2018 Annual American Control Conference, ACC 2018 (pp. 5952-5956). Article 8431687 (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8431687

H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations. / Phanomchocng, G.; Zemouche, A.; Jeons, W. et al.
2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 5952-5956 8431687 (Proceedings of the American Control Conference; Vol. 2018-June).

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

Phanomchocng, G, Zemouche, A, Jeons, W, Rajamani, R & Mazenc, F 2018, H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations. in 2018 Annual American Control Conference, ACC 2018., 8431687, Proceedings of the American Control Conference, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 5952-5956, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431687

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AB - This paper deals with the problem of H∞ observer design for a class of descriptor nonlinear systems with nonlinear output measurements. The established result is broad and can be applied to many estimation problems in nonlinear systems, such as unknown input estimation, fault diagnosis and state estimation. Based on the introduction of new assumptions involving a rank condition that specifies a constraint between the numbers of allowed unknown inputs, nonlinear functions, states and the number of measurements, a new Linear Matrix Inequality condition (LMI) for observer design is proposed. The obtained LMI is more general and less conservative, from a feasibility point of view, than those existing in the literature.

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H∞ Observer for Descriptor Nonlinear Systems with Nonlinear Output Equations

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