On the Functional Observer Design with Sampled Measurement

Continuous nonlinear systems; functional observer; LMI; sampled measurements; unknown input; Boundedness; Continuous system; Design procedure; Existence conditions; Functional observer; Linear matrix inequality problems; Lipschitz; Nonlinear functions; Observers designs; Unknown inputs; Control and Systems Engineering; Computer Science Applications; Electrical and Electronic Engineering; Observers; Time measurement; Stability analysis; Australia; System dynamics; Numerical stability; Estimation error

Abstract :

[en] In this article, a functional observer for continuous systems with sampled measurement is designed for a class of nonlinear systems, operating under unknown inputs, and the existence conditions are derived. The nonlinear function, as a function of full states, is decomposed to Lipschitz term and an unknown one. The stability and boundedness of the estimation dynamics are analyzed and accordingly, the design procedure is formulated as a linear matrix inequality problem. Moreover, the design algorithm for some special cases is obtained. The numerical simulations are performed to evaluate the effectiveness of the proposed approach.

Disciplines :

Electrical & electronics engineering

Author, co-author :

HABIBI, Hamed ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Automation ; University of Western Australia, School of Electrical, Electronic and Computer Engineering, Crawley, Australia ; Curtin University, School of Civil and Mechanical Engineering, Bentley, Australia

Fernando, Tyrone ; University of Western Australia, School of Electrical, Electronic and Computer Engineering, Crawley, Australia

Darouach, Mohamed ; IUT de Longwy, Université de Lorraine, CRAN-CNRS UMR 7039, Cosnes et Romain, France

External co-authors :

yes

Language :

English

Title :

On the Functional Observer Design with Sampled Measurement

Publication date :

September 2023

Journal title :

IEEE Transactions on Automatic Control

ISSN :

0018-9286

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Volume :

Issue :

Pages :

5759 - 5766

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx7/9/10233941/09968108.pdf?arnumber=9968108

Data Set :

10.1109/TAC.2022.3226109

Available on ORBilu :

since 24 November 2023

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