On stabilization of nonlinear systems affine in control

被引:4
|
作者
Liu, Xinmin [1 ]
Lin, Zongli [1 ]
机构
[1] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
关键词
D O I
10.1109/ACC.2008.4587139
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In a recent paper, we developed a structural decomposition for MIMO nonlinear systems that are affine in control but otherwise general. In this paper we exploit the properties of such a decomposition for the purpose of solving the stabilization problem. In particular, this decomposition simplifies the conventional backstepping design, motivates a new backstepping design procedure that is able to stabilize some systems on which the conventional backstepping is not applicable, and allows the stabilization of non-square systems.
引用
收藏
页码:4123 / 4128
页数:6
相关论文
共 50 条
  • [41] Differential flatness of affine nonlinear control systems
    Sato, Kazuhiro
    2012 PROCEEDINGS OF SICE ANNUAL CONFERENCE (SICE), 2012, : 892 - 897
  • [42] On Normal Forms of Nonlinear Systems Affine in Control
    Liu, Xinmin
    Lin, Zongli
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) : 239 - 253
  • [43] Nonlinear adaptive control design for affine systems
    Zong, Xuejun
    Tan, Minghao
    Yuan, Decheng
    ICNC 2007: THIRD INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 5, PROCEEDINGS, 2007, : 264 - +
  • [44] Stiffening control of a class of nonlinear affine systems
    Karray, F
    Grewal, A
    Glaum, M
    Modi, V
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1997, 33 (02) : 473 - 484
  • [45] On learning wavelet control for affine nonlinear systems
    Xu, Jian-Xin
    Yan, Rui
    Wang, Wei
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 2748 - +
  • [46] Construction of control Lyapunov functions for damping stabilization of control affine systems
    Hudon, N.
    Guay, M.
    SYSTEMS & CONTROL LETTERS, 2013, 62 (11) : 1009 - 1017
  • [47] Construction of Control Lyapunov Functions for Damping Stabilization of Control Affine Systems
    Hudon, N.
    Guay, M.
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 8008 - 8013
  • [48] Input-to-State Stabilization of Stabilizable, Time-Delay, Control-Affine, Nonlinear Systems
    Pepe, Pierdomenico
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1688 - 1693
  • [49] Parametric stabilization of nonlinear control systems
    Kamenetskii, VA
    AUTOMATION AND REMOTE CONTROL, 1996, 57 (02) : 187 - 194
  • [50] Smooth stabilization of nonlinear control systems
    Schwartz, CA
    Yan, AG
    AUTOMATICA, 1996, 32 (11) : 1609 - 1611