State feedback control law for a class of nonlinear time-varying system under unknown time-varying delay

被引：18
|
作者：
Naifar, Omar [1 ]
Ben Makhlouf, Abdellatif [2 ]
Hammami, Mohamed Ali [2 ]
Ouali, Abderrazak [1 ]
机构：
[1] Univ Sfax, CEM Lab, Dept Elect Engn, Natl Sch Engn, Sfax 3000, Tunisia
[2] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia
来源：
NONLINEAR DYNAMICS | 2015年 / 82卷 / 1-2期
关键词：
Practical stability; Exponential stability; Time-varying delay; Feedback control; EXPONENTIAL STABILITY; DYNAMICAL-SYSTEMS; SYNCHRONIZATION; STABILIZATION; EQUATIONS; NETWORKS;
D O I：
10.1007/s11071-015-2162-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the problem of stabilization of a specific class of nonlinear dynamical system with unknown, bounded, time-varying delay is considered. A new stabilizing control law guarantees the practical stability of the system. A modified extended control law leads to the exponential stability. A Lyapunov function is chosen, and sufficient assumptions are provided in order to prove the stability of the proposed feedback system. Simulation results are addressed to show the effectiveness of the suggested control design method.
引用
收藏
页码：349 / 355
页数：7
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