Robust stability and stabilization for singularly perturbed control systems

被引:0
|
作者
Zhong, Ningfan [1 ]
Sun, Minhui [2 ]
Zou, Yun [3 ]
机构
[1] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China
[2] Ocean Univ China, Dept Math, Qingdao 266003, Peoples R China
[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
关键词
robust stability; robust stabilization; singular system; singularly perturbed system;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper deals with the problems of robust stability analysis and robust stabilization for a class of uncertain linear singularly perturbed systems with norm-bounded time-varying uncertainties. We develop E-independent methods for solving the problems by using the existing results of robust stability and robust stabilization for singular systems under certain conditions. The proposed methods are given in terms of linear matrix inequalities.
引用
收藏
页码:1761 / 1770
页数:10
相关论文
共 50 条
  • [1] Stabilization and robust stability of singularly perturbed systems
    Hodaka, I
    Suzuki, M
    ROBUST CONTROL DESIGN 2000, VOLS 1 & 2, 2000, 1-2 : 25 - 28
  • [2] ROBUST STABILIZATION OF SINGULARLY PERTURBED SYSTEMS
    VIDYASAGAR, M
    SYSTEMS & CONTROL LETTERS, 1985, 5 (06) : 413 - 418
  • [3] ROBUST STABILITY OF SINGULARLY PERTURBED SYSTEMS
    SHAO, ZH
    SAWAN, ME
    INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) : 1469 - 1476
  • [4] Robust stability and stabilization of uncertain fractional-order singularly perturbed systems
    Long-Jun Zhu
    Jun-Guo Lu
    Zhen Zhu
    Computational and Applied Mathematics, 2024, 43
  • [5] Robust stability and stabilization of uncertain fractional-order singularly perturbed systems
    Zhu, Long-Jun
    Lu, Jun-Guo
    Zhu, Zhen
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [6] Robust Stabilization for a Class of Nonlinear Singularly Perturbed Systems
    Amjadifard, R.
    Beheshti, M. T. H.
    Yazdanpanah, M. J.
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2011, 133 (05):
  • [7] ROBUST STABILIZATION OF SINGULARLY PERTURBED NONLINEAR-SYSTEMS
    CORLESS, M
    GAROFALO, F
    GLIELMO, L
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1993, 3 (02) : 105 - 114
  • [8] Robust Stability of Singularly Perturbed Systems with Delays
    Yang, Yang
    Wang, Yuan
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 3975 - 3980
  • [9] Stability and stabilization for singularly perturbed systems with Markovian jumps
    Wang, Guoliang
    Xu, Lei
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (12) : 4690 - 4707
  • [10] Robust ISS stabilization on disturbance for uncertain singularly perturbed systems
    N'diaye, Mouctar
    Liu, Wei
    Wang, Zhiming
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (04) : 1115 - 1127