Computational Method of Optimal Control Problem Using Mathematical Programming. (1st Report). Introduction of Sensitivity Differential Equations.

• TSUCHIYA Takeshi

  東京大学大学院

• SUZUKI Shinji

  東京大学大学院工学系研究科航空宇宙工学専攻

Bibliographic Information

Other Title

• 数理計画法を用いた最適制御問題解法に関する研究　（その１）　感度微分方程式の導入
• スウリ ケイカクホウ オ モチイタ サイテキ セイギョ モンダイ カイホウ ニ
• Introduction of Sensitivity Differential Equations
• 感度微分方程式の導入

Abstract

This paper considers a numerical method for optimal control problems which are solved by using a mathematical programming formulation. The sensitivity differential equations are obtained to calculate the derivative information of the objective and constraint functions. Numerical examples of the accent trajectory problem of a spaceplane compare the proposed method with the conventional method which calculates derivatives using finite difference approximation. The results demonstrate the improvement of accuracy and computational efficiency of the present method.

Journal

• Aeronautical and Space Sciences Japan

  Aeronautical and Space Sciences Japan 45 (519), 231-237, 1997

  THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES

Keywords

• Guidance and Control
• Optimal Trajectory
• Spaceplane
• Mathematical Programming

Details

• CRID: 1390282679454254592
• NII Article ID: 10002861497
• NII Article ID: 10004209252
• NII Book ID: AN00189072
• DOI: 10.2322/jjsass1969.45.231
• ISSN: 24241369
• ISSN: 00214663
• ISSN: http://id.crossref.org/issn/13446460
• NDL BIB ID: 4184050
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4184050
• Web Site: https://www.jstage.jst.go.jp/article/jjsass1969/45/519/45_519_231/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed