On Observer Design for a Class of Nonlinear Systems Including Unknown Time-Delay

被引:0
作者
O. Naifar
A. Ben Makhlouf
M. A. Hammami
A. Ouali
机构
[1] National School of Engineering,CEM Lab, Department of Electrical Engineering
[2] University of Sfax,Department of Mathemetics, Faculty of Science of Sfax
来源
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词
Observer; exponential stability; practical stability; Lyapunov–Krasovskii; time delay; Primary 93Dxx; Secondary 34Dxx;
D O I
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中图分类号
学科分类号
摘要
The observer design for nonlinear systems with unknown, bounded, time-varying delays, on both input and state, is still an open problem for researchers. In this paper, a new observer design for a class of nonlinear system with unknown, bounded, time-varying delay was presented. For the proof of the observer stability, a Lyapunov–Krasovskii function was chosen. Sufficient assumptions are provided to prove the practical stability of the proposed observer. Furthermore, the exponential convergence of the observer was proved in the case of a constant time delay. Simulation results were shown to illustrate the feasibility of the proposed strategy.
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页码:2841 / 2851
页数:10
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