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

Zemouche, A., Rajamani, R., Trinh, H. and Zasadzinski, M. 2016, A new LMI based H∞ observer design method for Lipschitz nonlinear systems, in ECC 2016 : Proceedings of the 15th European Control Conference, IEEE, Piscataway, N.J., pp. 2011-2016, doi: 10.1109/ECC.2016.7810587.

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Title A new LMI based H∞ observer design method for Lipschitz nonlinear systems
Author(s) Zemouche, A.
Rajamani, R.
Trinh, H.ORCID iD for Trinh, H. orcid.org/0000-0003-3438-9969
Zasadzinski, M.
Conference name European Control Conference (15th : 2016 : Aalborg, Denmark)
Conference location Aalborg, Denmark
Conference dates 29 Jun. - 01 Jul. 2016
Title of proceedings ECC 2016 : Proceedings of the 15th European Control Conference
Publication date 2016
Start page 2011
End page 2016
Total pages 6
Publisher IEEE
Place of publication Piscataway, N.J.
Keyword(s) observers design
Lipschitz systems
LMI approach
H∞ synthesis
Summary This note deals with H1 observer design forLipschitz nonlinear systems. Thanks to a new and judicioususe of the Young’s relation, new and less conservative LMIconditions are proposed to solve the problem of observer design.Two LMI design methods are provided. First, we proposea new enhanced LMI technique that allows to improve thestandard LMI methods for Lipschitz systems. A second methodis proposed to improve more the first one. It consists incombining the first method and the well known LPV approach.This technique exploits the advantages of the LPV approach forlarger Lipschitz constants and in the second time, it allows toreduce the high number of LMIs of the classical LPV method.An application to a neural mass model is presented to showthe effectiveness of the proposed method.
ISBN 9781509025916
Language eng
DOI 10.1109/ECC.2016.7810587
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2016, EUCA
Persistent URL http://hdl.handle.net/10536/DRO/DU:30091058

Document type: Conference Paper
Collection: School of Engineering
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