Observer design and practical stability of nonlinear systems under\n unknown time-delay

2018/06/08 by Nadhem Echi, Echi, Nadhem
Engineering · #Adaptive Control of Nonlinear Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1806.03166

openalex publication_date 2018/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper, we study observer design and we establish some\nsufficient conditions for practical exponential stability for a class of\ntime-delay nonlinear systems written in triangular form. In case of delay, the\nexponential convergence of the observer was confirmed. Based on the\nLyapunov-Krasovskii functionals, the practical stability of the proposed\nobserver is achieved. Finally, a physical model and simulation findings show\nthe feasibility of the suggested strategy.\n

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