On the control of a nonlinear dynamic system in a time-optimal problem with state constraints

被引：1
|
作者：
Kandoba, I. N. [1 ,2 ]
Koz'min, I. V. [1 ,2 ]
机构：
[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia
[2] Ural Fed Univ, Ekaterinburg, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2016年 / 22卷 / 02期
关键词：
dynamic system; state constraints; admissible control; guide; accompanying positions;
D O I：
10.21538/0134-4889-2016-22-2-150-162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An optimal control problem for a nonlinear dynamic system is studied. The required control must satisfy given constraints and provide the fulfilment of a number of conditions on the current state of the system. For the construction of admissible controls in this problem, we propose an approach based on the ideas of solution of control problems with a guide. The results of numerical simulation are presented.
引用
收藏
页码：150 / 162
页数：13
相关论文
共 50 条
  • [1] On the Control of a Nonlinear Dynamic System in a Time-Optimal Problem with State Constraints
    Kandoba, I. N.
    Koz'min, I. V.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017, 299 : 75 - 87
  • [2] On the Control of a Nonlinear Dynamic System in a Time-Optimal Problem with State Constraints
    I. N. Kandoba
    I. V. Koz’min
    Proceedings of the Steklov Institute of Mathematics, 2017, 299 : 75 - 87
  • [3] A Nonlinear Time-Optimal Control Problem
    M. V. Topunov
    Automation and Remote Control, 2002, 63 : 1062 - 1069
  • [4] Time-optimal control for a nonlinear problem
    Grigor'ev, FN
    Kuznetsov, NA
    AUTOMATION AND REMOTE CONTROL, 2000, 61 (08) : 1246 - 1258
  • [5] A Nonlinear time-optimal control problem
    Topunov, MV
    AUTOMATION AND REMOTE CONTROL, 2002, 63 (07) : 1062 - 1069
  • [6] On a nonlinear time-optimal control problem
    Topunov, M.V.
    Avtomatika i Telemekhanika, 2002, (07): : 24 - 32
  • [7] Time-Optimal Control Problem with State Constraints in a Time-Periodic Flow Field
    Chertovskih, Roman
    Khalil, Nathalie T.
    Pereira, Fernando Lobo
    OPTIMIZATION AND APPLICATIONS, OPTIMA 2019, 2020, 1145 : 340 - 354
  • [8] Admissible Controls in a Nonlinear Time-Optimal Problem with Phase Constraints
    Kandoba, I. N.
    Koz'min, I., V
    Novikov, D. A.
    IFAC PAPERSONLINE, 2018, 51 (32): : 251 - 255
  • [9] SOLUTION OF THE TIME-OPTIMAL CONTROL PROBLEM FOR A CLASS OF NONLINEAR DYNAMIC-SYSTEMS
    MARTYNENKO, VV
    DOKLADY AKADEMII NAUK SSSR, 1988, 300 (01): : 47 - 50
  • [10] Numerical solution of a nonlinear time-optimal control problem
    G. V. Shevchenko
    Computational Mathematics and Mathematical Physics, 2011, 51
12345