New H∞ dynamic observer design for time-delay systems subject to disturbances

This paper presents a new approach to design an H dynamic observer (DO) for multi-delayed linear systems subject to -norm disturbances. This observer generalises the existing results on the proportional observer (PO), the proportional integral observer (PIO), and the DO. The proposed design approach...

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Bibliographic Details
Published inInternational journal of systems science Vol. 51; no. 14; pp. 2610 - 2624
Main Authors Nabil, El Fezazi, Abderrahim, Frih, Ouarda, Lamrabet
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 25.10.2020
Taylor & Francis Ltd
Subjects
Algebra
Disturbances
dynamic observer
estimation error
H infinity
Linear systems
multi-delayed systems
Parameterization
Proportional integral
Time delay systems
unbiasedness conditions
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Summary:This paper presents a new approach to design an H dynamic observer (DO) for multi-delayed linear systems subject to -norm disturbances. This observer generalises the existing results on the proportional observer (PO), the proportional integral observer (PIO), and the DO. The proposed design approach is derived from the solution of LMIs based on the parametrization results of algebraic constraints. These algebraic constraints can be easily obtained from the unbiasedness conditions of the estimation error. The obtained results are illustrated by a numerical example to show the performances of the proposed observer.
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content type line 14
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2020.1799108