Homogeneous Stabilization for Input Affine Homogeneous Systems

被引：36
|
作者：
Nakamura, Nami [1 ]
Nakamura, Hisakazu [1 ]
Yamashita, Yuh [1 ]
Nishitani, Hirokazu [1 ]
机构：
[1] Nara Inst Sci & Technol, Grad Sch Informat Sci, Ikoma, Japan
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 09期
关键词：
Control Lyapunov function; homogeneous system; nonlinear systems; optimal control; stability of nonlinear systems; LYAPUNOV FUNCTIONS; FEEDBACK CONTROLS; STABILITY;
D O I：
10.1109/TAC.2009.2026865
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Dilated homogeneous systems are local canonical forms of nonlinear control systems. For input affine homogeneous systems, existence of continuous homogeneous stabilizing controllers is equivalent to existence of differentiable homogeneous control Lyapunov functions. In this technical note, we propose an homogeneous stabilizing controller and an homogeneous inverse optimal controller for multi-input affine homogeneous systems with given homogeneous control Lyapunov functions.
引用
收藏
页码：2271 / 2275
页数：5
相关论文
共 50 条
  • [1] Homogeneous stabilization for input-affine homogeneous systems
    Nakamura, Nami
    Nakamura, Hisakazu
    Yamashita, Yah
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 3770 - +
  • [2] Homogeneous Stabilization of Driftless Input-Affine Systems Using Wiener Processes
    Hoshino, Kenta
    Yamashita, Yuh
    Nishimura, Yuki
    Tsubakino, Daisuke
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 3167 - 3172
  • [3] Stabilization of nonlinear affine systems by homogeneous method
    Ding Shihong
    Zheng Wei Xing
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 799 - 802
  • [4] Robust Stabilization of Control Affine Systems with Homogeneous Functions
    Zimenko, Konstantin
    Polyakov, Andrey
    Efimov, Denis
    IFAC PAPERSONLINE, 2020, 53 (02): : 6311 - 6316
  • [5] Homogeneous state feedback stabilization of homogeneous systems
    Grüne, L
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3409 - 3414
  • [6] ON THE STABILIZATION OF HOMOGENEOUS PERTURBED SYSTEMS
    Jerbi, Hamadi
    Kallel, Wajdi
    Kharrat, Thouraya
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2008, 14 (04) : 595 - 606
  • [7] On The Stabilization of Homogeneous Perturbed Systems
    Hamadi Jerbi
    Wajdi Kallel
    Thouraya Kharrat
    Journal of Dynamical and Control Systems, 2008, 14 : 595 - 606
  • [8] Stabilization of homogeneous bilinear systems
    Chabour, O
    Chabour, R
    Zenati, H
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (05): : 633 - 636
  • [9] Stabilization of nonlinear homogeneous systems
    Kharrat, Thouraya
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (01) : 169 - 183
  • [10] Homogeneous Geodesics in Homogeneous Affine Manifolds
    Zdeněk Dušek
    Oldřich Kowalski
    Zdeněk Vlášek
    Results in Mathematics, 2009, 54 : 273 - 288
12345