Three-dimensional reachability set for a nonlinear control system

被引：0
|
作者：
Patsko, V.S. [1 ]
Pyatko, S.G. [1 ]
Fedotov, A.A. [1 ]
机构：
[1] Inst. of Mathematics and Mechanics, Ural Div, Russian Academy of Sciences, ul. S. Kavalevskoj 16, Ekaterinburg, 620219, Russia
来源：
Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya | 2003年 / 03期
关键词：
Control - Motion control - Switching - Three dimensional;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A third-order nonlinear control system governing automobile or aircraft motion in a horizontal plane is considered. A theorem on the number and character of switching of the controls that lead to the boundary of the reachability set is proved. Examples of numerical construction of the reachability set are presented.
引用
收藏
页码：8 / 16
相关论文
共 50 条
  • [11] A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY
    Li, Xianyi
    Wang, Haijun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (01): : 249 - 266
  • [12] Solving the controllability problem for a nonlinear three-dimensional system
    N. V. Bondarenko
    E. V. Grigorieva
    E. N. Khailov
    Moscow University Computational Mathematics and Cybernetics, 2012, 36 (1) : 8 - 13
  • [13] Design of a Three-dimensional garage Control System
    HaiyanYang
    MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY, 2014, 556-562 : 2540 - 2543
  • [14] Control synthesis for a three-dimensional nilpotent system
    Sachkova, E. F.
    DIFFERENTIAL EQUATIONS, 2010, 46 (08) : 1202 - 1210
  • [15] Three-dimensional movement control of micromanipulation system
    Liu, C
    Wang, YQ
    Xu, Z
    Wang, LD
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON FRONTIERS OF DESIGN AND MANUFACTURING, VOL 1, 2002, : 40 - 42
  • [16] Control and synchronization of a three-dimensional chaotic system
    Jiang, Ming-Hui
    Fu, Wen-Fang
    Fang, Sheng-Le
    Dianji yu Kongzhi Xuebao/Electric Machines and Control, 2009, 13 (SUPPL. 1): : 139 - 143
  • [17] Control synthesis for a three-dimensional nilpotent system
    E. F. Sachkova
    Differential Equations, 2010, 46 : 1202 - 1210
  • [18] Approximation of the Reachability Set of a Nonlinear Controlled System with Discrete Time
    P. A. Tochilin
    Moscow University Computational Mathematics and Cybernetics, 2025, 49 (1) : 56 - 66
  • [19] Control of Three-Dimensional Nonlinear Slosh in Moving Rectangular Containers
    Huang, Jie
    Zhao, Xinsheng
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2018, 140 (08):
  • [20] Existence and analytical approximations of limit cycles in a three-dimensional nonlinear autonomous feedback control system
    Chen Huaxiong
    Shen Jianhe
    Zhou Zheyan
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 27 (06) : 1158 - 1171
12345