Mesh refinement in direct transcription methods for optimal control

被引:15
|
作者
Betts, JT [1 ]
Huffman, WP [1 ]
机构
[1] Boeing Informat & Support Serv, Math & Engn Anal, Seattle, WA 98124 USA
来源
关键词
direct transcription; mesh refinement; optimal control;
D O I
10.1002/(SICI)1099-1514(199801/02)19:1<1::AID-OCA616>3.0.CO;2-Q
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 direct transcription method for solving optimal control problems involves the use of a discrete approximation to the original problem. This paper describes a technique for changing the discretization in order to improve the accuracy of the approximation. An integer programming technique is used to minimize the maximum error during the refinement iterations. The efficiency of the method is illustrated for an application with path inequality constraints. (C) 1998 John Wiley & Sons, Ltd.
引用
收藏
页码:1 / 21
页数:21
相关论文
共 50 条
  • [1] Mesh refinement in direct transcription methods for optimal control
    Boeing Information and Support, Services, Seattle, United States
    [J]. Optim Control Appl Methods, 1 (1-21):
  • [2] Compensating for order variation in mesh refinement for direct transcription methods
    Betts, JT
    Biehn, N
    Campbell, SL
    Huffman, WP
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 125 (1-2) : 147 - 158
  • [3] Adaptive mesh refinement method for optimal control based on Hermite-Legendre-Gauss-Lobatto direct transcription
    Lei, Humin
    Liu, Tao
    Li, Deng
    Ye, Jikun
    [J]. JOURNAL OF VIBROENGINEERING, 2017, 19 (08) : 6036 - 6048
  • [4] Compensating for order variation in mesh refinement for direct transcription methods II: Computational experience
    Betts, JT
    Biehn, N
    Campbell, SL
    Huffman, WP
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 143 (02) : 237 - 261
  • [5] Mesh Refinement Strategy for Optimal Control Problems
    Paiva, L. T.
    Fontes, F. A. C. C.
    [J]. 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 590 - 593
  • [6] Fast Mesh Refinement in Pseudospectral Optimal Control
    Koeppen, N.
    Ross, I. M.
    Wilcox, L. C.
    Proulx, R. J.
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2019, 42 (04) : 711 - 722
  • [7] A ph mesh refinement method for optimal control
    Patterson, Michael A.
    Hager, William W.
    Rao, Anil V.
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2015, 36 (04): : 398 - 421
  • [8] Density Functions for Mesh Refinement in Numerical Optimal Control
    Zhao, Yiming
    Tsiotras, Panagiotis
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2011, 34 (01) : 271 - 277
  • [9] INEXACT RESTORATION AND ADAPTIVE MESH REFINEMENT FOR OPTIMAL CONTROL
    Banihashemi, Nahid
    Kaya, C. Yalcin
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2014, 10 (02) : 521 - 542
  • [10] Modified Multiresolution Technique for Mesh Refinement in Numerical Optimal Control
    Zhao, Jisong
    Li, Shuang
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2017, 40 (12) : 3324 - 3334