Feedback stabilization for high order feedforward nonlinear time-delay systems

被引:103
|
作者
Zhang, Xianfu [1 ]
Liu, Qingrong [2 ]
Baron, Luc [3 ]
Boukas, El-Kebir [3 ]
机构
[1] Shandong Jianzhu Univ, Shandong Prov Key Lab Intelligent Bldg Technol, Jinan 250101, Peoples R China
[2] Shandong Econ Univ, Sch Stat & Mathmat, Jinan 250014, Peoples R China
[3] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada
关键词
Feedforward systems; Time-delay systems; High order; Dynamic gain controllers; GLOBAL ASYMPTOTIC STABILIZATION;
D O I
10.1016/j.automatica.2011.01.018
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the problem of global strong stabilization by state feedback, for a family of high order feedforward nonlinear time-delay systems. The uncertain nonlinearities are assumed to satisfy a polynomial growth assumption with an input or delayed input dependent rate. With the help of the appropriate Lyapunov-Krasovskii functionals, and a rescaling transformation with a gain to be tuned online by a dynamic equation, we propose a dynamic low gain state feedback control scheme. A simulation example is given to demonstrate the effectiveness of the proposed design procedure. (C) 2011 Elsevier Ltd. All rights reserved.
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页码:962 / 967
页数:6
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