Semi-global stabilization of linear time-delay systems with control energy constraint

被引：13

作者：

Zhou, Bin ^{[1
]}

Lin, Zongli ^{[2
]}

Lam, James ^{[3
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

[2] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA

[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

AUTOMATICA | 2012年 / 48卷 / 04期

基金：

美国国家科学基金会; 中国国家自然科学基金; 中国博士后科学基金;

关键词：

Energy constraints; Semi-global stabilization; Time-delay systems; L-2 low gain feedback; NULL CONTROLLABILITY; STABILIZABILITY; SATURATION; STABILITY; SUBJECT;

D O I：

10.1016/j.automatica.2012.01.011

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 note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L-2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：694 / 698

页数：5

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