A new LMI based H∞ observer design method for Lipschitz nonlinear systems

A. Zemouche; Rajesh Rajamani; H. Trinh; M. Zasadzinski

doi:10.1109/ECC.2016.7810587

A new LMI based H_∞ observer design method for Lipschitz nonlinear systems

A. Zemouche, Rajesh Rajamani, H. Trinh, M. Zasadzinski

Mechanical Engineering

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

17 Scopus citations

Abstract

This note deals with H_∞ observer design for Lipschitz nonlinear systems. Thanks to a new and judicious use of the Young's relation, new and less conservative LMI conditions are proposed to solve the problem of observer design. Two LMI design methods are provided. First, we propose a new enhanced LMI technique that allows to improve the standard LMI methods for Lipschitz systems. A second method is proposed to improve more the first one. It consists in combining the first method and the well known LPV approach. This technique exploits the advantages of the LPV approach for larger Lipschitz constants and in the second time, it allows to reduce the high number of LMIs of the classical LPV method. An application to a neural mass model is presented to show the effectiveness of the proposed method.

Original language	English (US)
Title of host publication	2016 European Control Conference, ECC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2011-2016
Number of pages	6
ISBN (Electronic)	9781509025916
DOIs	https://doi.org/10.1109/ECC.2016.7810587
State	Published - Jan 6 2017
Event	2016 European Control Conference, ECC 2016 - Aalborg, Denmark Duration: Jun 29 2016 → Jul 1 2016

Publication series

Name	2016 European Control Conference, ECC 2016

Other

Other	2016 European Control Conference, ECC 2016
Country/Territory	Denmark
City	Aalborg
Period	6/29/16 → 7/1/16

Bibliographical note

Publisher Copyright:
© 2016 EUCA.

Keywords

LMI approach
Lipschitz systems
Observers design
synthesis

Publisher link

10.1109/ECC.2016.7810587

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Cite this

A new LMI based H_∞ observer design method for Lipschitz nonlinear systems. / Zemouche, A.; Rajamani, Rajesh; Trinh, H. et al.
2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 2011-2016 7810587 (2016 European Control Conference, ECC 2016).

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

Zemouche, A, Rajamani, R, Trinh, H & Zasadzinski, M 2017, A new LMI based H_∞ observer design method for Lipschitz nonlinear systems. in 2016 European Control Conference, ECC 2016., 7810587, 2016 European Control Conference, ECC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 2011-2016, 2016 European Control Conference, ECC 2016, Aalborg, Denmark, 6/29/16. https://doi.org/10.1109/ECC.2016.7810587

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