Geometries of Single-Input Locally Accessible Control Systems

被引:0
|
作者
Hoeffner, K. [1 ]
Guay, M. [1 ]
机构
[1] Queens Univ, Dept Chem Engn, Kingston, ON K7L 3N6, Canada
来源
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词
LINEARIZATION; ALGORITHM;
D O I
10.1109/ACC.2009.5160678
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The description of a nonlinear control system as an exterior differential system suggests an interesting connection between locally accessible control systems and the existence of a natural geometry associated to the control system. The classification of single-input locally accessible control systems leads to a canonical construction of a (pseudo-) Riemannian metric on the state space. Conditions for the existence of such a metric are derived and the construction is illustrated in a simple example.
引用
收藏
页码:1480 / 1484
页数:5
相关论文
共 50 条
  • [1] Subriemannian metric induced by single-input locally accessible control-affine systems
    Hoeffner, K.
    Guay, M.
    PHYSICA D-NONLINEAR PHENOMENA, 2013, 247 (01) : 1 - 6
  • [2] Curvatures of single-input control systems
    Jakubczyk, Bronislaw
    CONTROL AND CYBERNETICS, 2009, 38 (04): : 1375 - 1391
  • [3] OPTIMAL CONTROL OF NONLINEAR SINGLE-INPUT SYSTEMS
    LEEPER, JL
    MULHOLLA.RJ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (03) : 401 - &
  • [4] Orbital flatness of a class of single-input control systems
    Li Shunjie
    Xu Chao
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 825 - 830
  • [5] State and feedback linearizations of single-input control systems
    Tall, Issa Amadou
    SYSTEMS & CONTROL LETTERS, 2010, 59 (07) : 429 - 441
  • [6] Controllability for single-input mechanical control systems with dissipation
    Jianling Kang
    Hong Wang
    Huawen Ye
    Journal of Control Theory and Applications, 2005, 3 (1): : 42 - 46
  • [7] Controllability for single-input mechanical control systems with dissipation
    Jianling KANG 1
    2.College of Mathematics and the PMC Key Lab ME of China
    3.Department of Automatic Control
    JournalofControlTheoryandApplications, 2005, (01) : 42 - 46
  • [8] Structural control of single-input rank one bilinear systems
    Ghosh, Supratim
    Ruths, Justin
    AUTOMATICA, 2016, 64 : 8 - 17
  • [9] Single-Input Control Systems on the Euclidean Group SE(2)
    Adams, Ross M.
    Biggs, Rory
    Remsing, Claudiu C.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, 5 (01): : 1 - 15
  • [10] Orbital feedback linearization of single-input nonlinear control systems
    Respondek, W
    NONLINEAR CONTROL SYSTEMS DESIGN 1998, VOLS 1& 2, 1998, : 483 - 488