Direct numerical solution of a time-optimal state-constrained control problem in a flow

被引：0
|
作者：
Chertovskih, Roman [1 ]
Pereira, Fernando Lobo [1 ]
机构：
[1] Univ Porto, Fac Engn, Res Ctr Syst & Technol SYSTEC, Elect & Comp Engn Dept, Porto, Portugal
来源：
2020 7TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT'20), VOL 1 | 2020年
基金：
俄罗斯科学基金会;
关键词：
optimal control; direct methods; interior-point method; sequential quadratic programming;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the following time-optimal control problem with state constraints: compute minimal travelling time of a controllable object moving in a prescribed flow field in a bounded domain between two given points. The optimal control problem is solved numerically using two direct methods interior-point line search filter method and sequential quadratic programming. Five sample flows are considered, and computational properties of the corresponding simulations are measured and discussed.
引用
收藏
页码：353 / 357
页数：5
相关论文
共 50 条
  • [1] An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow
    Chertovskih, Roman
    Karamzin, Dmitry
    Khalil, Nathalie T.
    Pereira, Fernando Lobo
    [J]. 2018 IEEE/OES AUTONOMOUS UNDERWATER VEHICLE WORKSHOP (AUV), 2018,
  • [2] A level set approach for the solution of a state-constrained optimal control problem
    Michael Hintermüller
    Wolfgang Ring
    [J]. Numerische Mathematik, 2004, 98 : 135 - 166
  • [3] Numerical solution of a nonlinear time-optimal control problem
    G. V. Shevchenko
    [J]. Computational Mathematics and Mathematical Physics, 2011, 51
  • [4] Numerical solution of a nonlinear time-optimal control problem
    Shevchenko, G. V.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (04) : 537 - 549
  • [5] A level set approach for the solution of a state-constrained optimal control problem
    Hintermüller, M
    Ring, W
    [J]. NUMERISCHE MATHEMATIK, 2004, 98 (01) : 135 - 166
  • [6] Convexifying State-Constrained Optimal Control Problem
    Lee, Donggun
    Deka, Shankar A.
    Tomlin, Claire J.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (09) : 5608 - 5615
  • [7] On the infinite time solution to state-constrained stochastic optimal control problems
    Rutquist, Per
    Breitholtz, Claes
    Wik, Torsten
    [J]. AUTOMATICA, 2008, 44 (07) : 1800 - 1805
  • [8] A comparison principle for state-constrained differential inequalities and its application to time-optimal control
    Kim, SJ
    Choi, DS
    Ha, IJ
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (07) : 967 - 983
  • [9] Time-optimal control of state-constrained second-order systems and an application to robotic manipulators
    Kim, SJ
    Choi, DS
    Ha, IJ
    [J]. PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 1478 - 1483
  • [10] Direct optimization methods for solving a complex state-constrained optimal control problem in microeconomics
    Maurer, Helmut
    Pesch, Hans Josef
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) : 568 - 579
12345