Robust stabilization of one class of nonlinear systems

被引:0
|
作者
V. I. Korobov
A. V. Lutsenko
机构
[1] University of Szczecin,Institute of Mathematics
[2] Karazin Kharkiv National University,undefined
来源
Automation and Remote Control | 2014年 / 75卷
关键词
Nonlinear System; Remote Control; Lyapunov Function; Robust Stabilization; Positive Real Part;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the robust linear stabilization problem for a family of nonlinear controllable systems that contains functional-parametric uncertainties and depends on the control nonlinearly. We obtain sufficient conditions for robust stabilization and synthesize state linear controllers that perform robust stabilization. We also obtain necessary conditions for robust stabilization that are close to sufficient. The synthesis is based on the method of Lyapunov functions.
引用
收藏
页码:1433 / 1444
页数:11
相关论文
共 50 条
  • [1] Robust stabilization of one class of nonlinear systems
    Korobov, V. I.
    Lutsenko, A. V.
    AUTOMATION AND REMOTE CONTROL, 2014, 75 (08) : 1433 - 1444
  • [2] On the Robust Stabilization of One Class of Nonlinear Discrete Systems
    Korobov V.I.
    Lutsenko A.V.
    Journal of Mathematical Sciences, 2017, 220 (4) : 483 - 497
  • [3] Robust Stabilization for A Class of Nonlinear Systems
    Cai, Xiushan
    Lin, Rong
    Su, Shaoqing
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4840 - 4844
  • [4] Stabilization of one class of nonlinear systems
    Korobov, V. I.
    Bebiya, M. O.
    AUTOMATION AND REMOTE CONTROL, 2017, 78 (01) : 1 - 15
  • [5] Stabilization of one class of nonlinear systems
    V. I. Korobov
    M. O. Bebiya
    Automation and Remote Control, 2017, 78 : 1 - 15
  • [6] Robust Stabilization for a Class of Switched Nonlinear Systems
    Wu, Caiyun
    Niu, Ben
    MECHATRONICS AND INTELLIGENT MATERIALS II, PTS 1-6, 2012, 490-495 : 1536 - +
  • [7] Robust Stabilization of a Class of Nonlinear Descriptor Systems
    Sun Liying
    Wang Yuzhen
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1424 - 1429
  • [8] On motion stabilization for one class of nonlinear systems
    Lebedev, D.V.
    Problemy Upravleniya I Informatiki (Avtomatika), 2002, (01): : 44 - 54
  • [9] Robust stability and stabilization of a class of nonlinear switched systems
    Ji, ZJ
    Wang, L
    PROCEEDINGS OF THE 25TH IASTED INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION, AND CONTROL, 2006, : 37 - +
  • [10] Robust stabilization for a class of nonlinear networked control systems
    Gao J.
    Su H.
    Ji X.
    Chu J.
    Journal of Control Theory and Applications, 2008, 6 (3): : 300 - 304