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

被引:15
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
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
收藏
页码:694 / 698
页数:5
相关论文
共 20 条
[1]  
[Anonymous], 1977, APPL MATH SCI
[2]   A NEW METHOD FOR COMPUTING DELAY MARGINS FOR STABILITY OF LINEAR DELAY SYSTEMS [J].
CHEN, J ;
GU, GX ;
NETT, CN .
SYSTEMS & CONTROL LETTERS, 1995, 26 (02) :107-117
[3]   Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations [J].
Gu, Keqin ;
Liu, Yi .
AUTOMATICA, 2009, 45 (03) :798-804
[4]  
Hu Tingshu, 2001, CONTROL ENGN SER
[5]   Null controllability with vanishing energy for discrete-time systems [J].
Ichikawa, Akira .
SYSTEMS & CONTROL LETTERS, 2008, 57 (01) :34-38
[6]   Nonlinear control of feedforward systems with bounded signals [J].
Kaliora, G ;
Astolfi, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (11) :1975-1990
[7]  
Lin Z., 1998, Low Gain Feedback
[8]   On Asymptotic stabilizability of linear systems with delayed input [J].
Lin, Zongli ;
Fang, Haijun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :998-1013
[9]   On finite-gain stabilizability of linear systems subject to input saturation [J].
Liu, WS ;
Chitour, Y ;
Sontag, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (04) :1190-1219
[10]   Global asymptotic stabilization for chains of integrator with a delay in the input [J].
Mazenc, F ;
Mondié, S ;
Niculescu, SI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (01) :57-63