Global stabilisation of high-order non-linear systems with time-varying delays

被引：25
|
作者：
Gao, Fangzheng [1 ]
Yuan, Fushun [1 ]
Wu, Yuqiang [2 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
[2] Qufu Normal Univ, Inst Automat, Qufu 273165, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 13期
关键词：
asymptotic stability; closed loop systems; continuous systems; control nonlinearities; delay systems; Lyapunov methods; nonlinear control systems; state feedback; time-varying systems; global asymptotic stability; high-order nonlinear system; time-varying delay; system nonlinearities; power integrator; continuous state-feedback controller; closed-loop system; LyapunovaEuro"Krasovskii functional; OUTPUT-FEEDBACK STABILIZATION; ADAPTIVE STABILIZATION; PARAMETERIZED SYSTEMS; DESIGN;
D O I：
10.1049/iet-cta.2013.0435
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Under the weaker condition on the system non-linearities, this study investigates the problem of global stabilisation by state feedback for a class of high-order non-linear systems with time-varying delays. By using the method of adding a power integrator, a continuous state-feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.
引用
收藏
页码：1737 / 1744
页数：8
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