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

被引：18

作者：

Naifar, O. ^{[1
]}

Ben Makhlouf, A. ^{[2
]}

Hammami, M. A. ^{[2
]}

Ouali, A. ^{[1
]}

机构：

[1] Natl Sch Engn, Dept Elect Engn, CEM Lab, BP W, Sfax 3038, Tunisia

[2] Univ Sfax, Fac Sci Sfax, Dept Mathemet, BP 1171, Sfax 3000, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Observer; exponential stability; practical stability; Lyapunov-Krasovskii; time delay; EXPONENTIAL STABILITY; PARAMETER; NETWORKS;

D O I：

10.1007/s00009-015-0659-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2841 / 2851

页数：11

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