Dynamic programming trajectory optimization by piecewise linear approximation

Akinori Harada, Haruki Matsuda, Yoshikazu Miyazawa

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

3 被引用数 (Scopus)

抄録

The rapid increase of computational capability due to high-performance processors and parallel processing, as well as continual decreases of hardware costs, have revived interest in previously overlooked numerical methods. The practical application of Dynamic Programming, one such method for trajectory optimization, has been prevented by the “menace of the expanding grid”, otherwise known as the dimensional difference problem. This problem occurs in cases where the number of control variables is fewer than that of state variables. The present paper proposes a promising method that overcomes the problem by piecewise linear approximation to obtain the optimum return function. The accuracy achieved by the method is illustrated with a simple example in which the exact solution is provided analytically. Furthermore, the method may be applied to aircraft longitudinal flight optimization, where it generates the most efficient and practically applicable reference flight trajectory in real time.

本文言語英語
ホスト出版物のタイトルAIAA Guidance, Navigation, and Control Conference 2015, MGNC 2015 - Held at the AIAA SciTech Forum 2015
出版社American Institute of Aeronautics and Astronautics Inc.
ISBN(電子版)9781510801097
出版ステータス出版済み - 2015
イベントAIAA Guidance, Navigation, and Control Conference 2015, MGNC 2015 - Held at the AIAA SciTech Forum 2015 - Kissimmee, 米国
継続期間: 1 5 20151 9 2015

出版物シリーズ

名前AIAA Guidance, Navigation, and Control Conference 2015, MGNC 2015 - Held at the AIAA SciTech Forum 2015

その他

その他AIAA Guidance, Navigation, and Control Conference 2015, MGNC 2015 - Held at the AIAA SciTech Forum 2015
国/地域米国
CityKissimmee
Period1/5/151/9/15

All Science Journal Classification (ASJC) codes

  • 電子工学および電気工学
  • 航空宇宙工学
  • 制御およびシステム工学

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