ROBUST STABILITY OF SINGULARLY PERTURBED SYSTEMS

被引:40
|
作者
SHAO, ZH
SAWAN, ME
机构
[1] Department of Electrical Engineering, Wichita State University, Wichita, KS
关键词
D O I
10.1080/00207179308923065
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The robust stability problem of linear time-invariant singularly perturbed systems is discussed, where the system matrix may have a parameter perturbation bounded by the H-infinity-norm. A sufficient condition for the upper bound of epsilon is given, such that the stability of the actual system (or the full-order model) can be inferred from the analysis of the reduced-order system (or the slow model) in separate time scales.
引用
收藏
页码:1469 / 1476
页数:8
相关论文
共 50 条
  • [31] Robust stability for decentralized singularly perturbed unified system
    Hyun, Inha
    Sawan, M. E.
    Lee, Dong Gi
    Kim, Dongwook
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 4338 - 4343
  • [32] Robust stability of nonlinear singularly perturbed system with uncertainties
    Son, JW
    Lim, JT
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (01): : 104 - 110
  • [33] Maximal stability bounds of singularly perturbed systems
    Chen, S.J.
    Lin, J.L.
    Journal of the Franklin Institute, 1999, 336 (08): : 1209 - 1218
  • [34] Asymptotic stability for nonlinear singularly perturbed systems
    Wang Zhiming
    Dai Haohui
    Proceedings of the 24th Chinese Control Conference, Vols 1 and 2, 2005, : 68 - 70
  • [35] STABILITY OF SINGULARLY PERTURBED SYSTEMS AND NETWORKS WITH PARASITICS
    WILDE, RR
    KOKOTOVIC, PV
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (02) : 245 - +
  • [36] Stability bounds of singularly perturbed delay systems
    Shao, ZH
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05): : 585 - 588
  • [37] String stability of singularly perturbed stochastic systems
    Rybarska-Rusinek, Liliana
    Socha, Leslaw
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2007, 25 (04) : 719 - 737
  • [38] Exponential stability of singularly perturbed stochastic systems
    Socha, Leslaw
    Proceedings of the IEEE Conference on Decision and Control, 1998, 3 : 2371 - 2375
  • [39] DICHOTOMIES AND STABILITY IN SINGULARLY PERTURBED SYSTEMS OF ODE
    BATTELLI, F
    LAZZARI, C
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (02) : 259 - 273
  • [40] Stability bounds of singularly perturbed discrete systems
    Li, THS
    Chiou, JS
    Kung, FC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (10) : 1934 - 1938