Problem of robust stability and stabilization of linear systems with nonlinear uncertain parameters

被引:0
|
作者
Huang, Rui [1 ]
Gao, Liqun [1 ]
机构
[1] Northeastern Univ, Harbin, China
来源
Kongzhi yu Juece/Control and Decision | 2000年 / 15卷 / 05期
关键词
Control nonlinearities - Dynamics - Linear control systems - Lyapunov methods - Robustness (control systems);
D O I
暂无
中图分类号
学科分类号
摘要
The problem of robust stability and robust stabilization for a class of linear systems with nonlinear uncertain parameters has been dealt with. A new uncertain state-space model which has a strong practical background and allows second-order uncertain parameters is proposed. The robust stability and robust stabilization of the system are analyzed. The criteria are given in terms of LMI. Examples to prove the advantage of the method are given.
引用
收藏
页码:535 / 539
相关论文
共 50 条
  • [21] Improved Results on Robust Stability Analysis and Stabilization for a Class of Uncertain Nonlinear Systems
    Belhaouane, Mohamed Moez
    Ghariani, Mohamed Faiez
    Ayadi, Hela Belkhiria
    Braiek, Naceur Benhadj
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [22] Robust Stability and Stabilization of Uncertain Delay Systems
    Shafai, B.
    Sadaka, H.
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 4685 - 4690
  • [23] A convex approach to robust stability for linear systems with uncertain scalar parameters
    Bliman, PA
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 42 (06) : 2016 - 2042
  • [24] Robust stabilization of a linear object with uncertain parameters of a model
    Pelevin, AE
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2003, 42 (01) : 36 - 42
  • [25] An improved robust stability and robust stabilization method for linear discrete-time uncertain systems
    Xianming ZHANG 1
    2.School of Mathematical Science and Computing Technology
    3.School of Bionics
    4.Faculty of Business and Informatics
    Journal of Control Theory and Applications, 2007, (01) : 99 - 103
  • [26] An improved robust stability and robust stabilization method for linear discrete-time uncertain systems
    Zhang X.
    Wu M.
    She J.
    Han D.
    Journal of Control Theory and Applications, 2007, 5 (1): : 99 - 103
  • [27] Robust stabilization of linear discrete-time systems with non-linear uncertain parameters
    Fang, Jianyin
    Rao, Minggui
    2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1999 - +
  • [28] On stabilization of uncertain linear systems with jump parameters
    Boukas, EK
    Shi, P
    Benjelloun, K
    INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (09) : 842 - 850
  • [29] Robust stabilization of non-linear discrete-time systems with uncertain parameters
    Fang, JY
    Mu, XW
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 890 - 897
  • [30] Robust fault-tolerant control for linear systems with nonlinear uncertain parameters
    Sun, JT
    Deng, FQ
    Liu, YQ
    PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 2746 - 2749