Open Access
Research Article
An LMI-based framework for observer design in nonlinear systems with delayed measurements
*Nadhem EchiCorresponding authornadhem.echi@fsgf.u-gafsa.tnDepartment of Mathematics Faculty of Sciences of Gafsa Gafsa UniversityGafsa, 2112, TunisiaView full profile → , Imen Zaidiimenzaidi97@gmail.comDepartment of Mathematics Faculty of Sciences of Sfax Sfax UniversitySfax, 3000, TunisiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 01 May 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDSGT-2025-11003
- Pages:
- 71–86
Abstract
In this paper, we address the problem of observer design for time-delay systems with delays in both the state and the input, under the global Lipschitz condition on the system nonlinearity, using a Linear Matrix Inequality (LMI) approach. Utilizing the recent results from Nguyen, Zemouche, and Trinh [28], this work further elaborates and expands upon them. The aim of this study is to present a novel design approach. Utilizing advanced mathematical techniques, the reformulation of the Lipschitz property enhances its practicality and reduces conservatism. Furthermore, the exponential stability of the augmented closed-loop system and the estimation error dynamics is established through a Halanay-inequality-based method. A numerical example, based on the dynamics of a directional antenna in a telecommunications system, is provided to illustrate the effectiveness of the proposed results.
Keywords
Subject Classifications
34A3034A34
References
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