Robust stability of singularly perturbed state feedback systems using unified approach

被引:27
作者
Singh, H
Brown, RH
Naidu, DS
Heinen, JA
机构
[1] Corning Inc, Wilmington, NC 28405 USA
[2] Marquette Univ, Dept Elect & Comp Engn, Ctr Intelligent Syst Controls & Signal Proc, Milwaukee, WI 53233 USA
[3] Idaho State Univ, Measurements & Control Engn Res Ctr, Coll Engn, Pocatello, ID 83209 USA
来源
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2001年 / 148卷 / 05期
关键词
D O I
10.1049/ip-cta:20010681
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A method for decomposition of unified state-feedback singularly perturbed systems is presented. Based on the small-gain theorem, a sufficient condition for robust stability is derived such that the composite state feedback renders the closed-loop singularly perturbed system asymptotically stable. With this method there is no need to consider two different approaches for continuous-time and discrete-time domains. An example illustrates the methodology.
引用
收藏
页码:391 / 396
页数:6
相关论文
共 25 条
[1]   COMPUTATIONAL SINGULAR PERTURBATION METHOD FOR DYNAMIC-SYSTEMS [J].
ARDEMA, MD .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (03) :661-664
[2]  
CHEN B, 1990, IEEE T AUTOMAT CONTR, V11, P1265
[3]   2-TIME-SCALE LONGITUDINAL CONTROL OF AIRPLANES USING SINGULAR PERTURBATION [J].
CHEN, FC ;
KHALIL, HK .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1990, 13 (06) :952-960
[4]   ADVANCED MIDCOURSE GUIDANCE FOR AIR-TO-AIR MISSILES [J].
CHENG, VHL ;
GUPTA, NK .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1986, 9 (02) :135-142
[5]   CHARACTERIZATION AND COMPUTATION FOR THE BOUND EPSILON-STAR IN LINEAR TIME-INVARIANT SINGULARLY PERTURBED SYSTEMS [J].
FENG, W .
SYSTEMS & CONTROL LETTERS, 1988, 11 (03) :195-202
[6]  
GAJIC Z, 1990, LECT NOTES CONTROL I, V140
[7]  
Khalil HK., 1992, NONLINEAR SYSTEMS
[8]  
Kokotovic P., 1999, SINGULAR PERTURBATIO
[9]   APPLICATIONS OF SINGULAR PERTURBATION TECHNIQUES TO CONTROL-PROBLEMS [J].
KOKOTOVIC, PV .
SIAM REVIEW, 1984, 26 (04) :501-550
[10]   STABILIZATION BOUND OF DISCRETE 2-TIME-SCALE SYSTEMS [J].
LI, THS ;
LI, JH .
SYSTEMS & CONTROL LETTERS, 1992, 18 (06) :479-489