Linear matrix inequality–based observer design methods for a class of nonlinear systems with delayed output measurements

This article deals with observer design for a class of nonlinear systems subject to delayed output measurements. Using an observer structure borrowed from Targui et al., we propose novel linear matrix inequality conditions ensuring the asymptotic convergence of the estimation error towards zero. We...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering Journal of systems and control engineering, 2023-03, Vol.237 (3), p.433-446
Main Authors: Nechaf, Hassiba, Zemouche, Ali, Mostefai, Mohammed, Laleg-Kirati, Taous-Meriem, Djeghali, Nadya, Bedouhene, Fazia
Format: Article
Language:English
Subjects:
Asymptotic properties
Automatic
Convergence
Engineering Sciences
Error analysis
Linear matrix inequalities
Lipschitz condition
Mathematical analysis
Mechanical engineering
Nonlinear systems
Upper bounds
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Summary:This article deals with observer design for a class of nonlinear systems subject to delayed output measurements. Using an observer structure borrowed from Targui et al., we propose novel linear matrix inequality conditions ensuring the asymptotic convergence of the estimation error towards zero. We demonstrate analytically that the established linear matrix inequalities are less conservative than that of Targui et al., from a feasibility viewpoint, in the sense that they tolerate larger values of the upper bounds of the delay while guaranteeing the asymptotic convergence of the observer. Such linear matrix inequality conditions are obtained due to the use of a specific Lyapunov–Krasovskii functional, the Young inequality in a judicious way and a reformulation of the Lipschitz condition in a convenient way. We provide two illustrative examples to support the efficiency and superiority of the proposed linear matrix inequality–based techniques.
ISSN:0959-6518
2041-3041
DOI:10.1177/09596518221133590