Robust stability of singularly perturbed systems with state delays

被引:12
|
作者
Shao, Z [1 ]
机构
[1] Optobahn Corp, Torrance, CA 90502 USA
来源
关键词
D O I
10.1049/ip-cta:20030018
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 stability of a linear two-time-scale system with state delays is studied. A delay-dependent sufficient condition for the stability bound epsilon(*) is given, such that the stability of the full-order model can be inferred from the analysis of its reduced-order model in separate time scales. The stability robustness problem of the same system is also discussed, where both the system matrices and time delays may be uncertain. Finally, an example is illustrated to show the applications of the results derived.
引用
收藏
页码:2 / 6
页数:5
相关论文
共 50 条
  • [1] Robust Stability of Singularly Perturbed Systems with State Delays
    Liu, Li-Li
    Peng, Ji-Gen
    Wu, Bao-Wei
    [J]. PROCEEDINGS OF 2009 INTERNATIONAL WORKSHOP ON INFORMATION SECURITY AND APPLICATION, 2009, : 19 - 21
  • [2] Robust Stability of Singularly Perturbed Systems with Delays
    Yang, Yang
    Wang, Yuan
    [J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 3975 - 3980
  • [3] ROBUST STABILITY OF SINGULARLY PERTURBED SYSTEMS
    SHAO, ZH
    SAWAN, ME
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) : 1469 - 1476
  • [4] Input-to-State Stability of Singularly Perturbed Control Systems with Delays
    Zhao, Yongxiang
    Xiao, Aiguo
    Li, Li
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [5] Robust stability for a class of uncertain singularly perturbed systems with multiple time delays
    Chen, CF
    Pan, ST
    Hsieh, JG
    [J]. JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING, 2001, 44 (03): : 900 - 906
  • [6] Robust stability for singularly perturbed systems with structured state space uncertainties
    Mukaidani, H
    Mizukami, K
    [J]. ELECTRICAL ENGINEERING IN JAPAN, 2000, 132 (04) : 62 - 72
  • [7] Robust stability for singularly perturbed systems with structured state space uncertainties
    Mukaidani, Hiroaki
    Mizukami, Koichi
    [J]. 2000, Scripta Technica Inc, New York, NY, United States (132):
  • [8] Stabilization and robust stability of singularly perturbed systems
    Hodaka, I
    Suzuki, M
    [J]. ROBUST CONTROL DESIGN 2000, VOLS 1 & 2, 2000, 1-2 : 25 - 28
  • [9] Effects of small delays on stability of singularly perturbed systems
    Fridman, E
    [J]. AUTOMATICA, 2002, 38 (05) : 897 - 902
  • [10] Robust state estimation for singularly perturbed systems
    Yousfi, B.
    Raissi, T.
    Amairi, M.
    Gucik-Derigny, D.
    Aoun, M.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (03) : 566 - 579