http://scholars.ntou.edu.tw/handle/123456789/17564
標題: | NUMERICAL SOLUTIONS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS AND ITS APPLICATIONS IN SOLVING TPPC PROBLEMS |
作者: | He-Sheng Wang Wei-Lun Jhu Chee-Fai Yung Ping-Feng Wang |
關鍵字: | differential-algebraic equations;computer algebra;trajectory-prescribed path control |
公開日期: | 二月-2011 |
出版社: | Journal of Marine Science and Technology-Taiwan |
卷: | 19 |
期: | 1 |
起(迄)頁: | 76-88 |
來源出版物: | Journal of Marine Science and Technology-Taiwan |
摘要: | In this paper, we present a numerical method for solving nonlinear differential algebraic equations (DAE's) based on the backward differential formulas (BDF) and the Fade series. Usefulness of the method is then illustrated by a numerical example, which is concerned with the derivation of the optimal guidance law for spacecraft. This kind of problems is called trajectory-prescribed path control (TPPC) in the literature. We reformulate the problem as a Hamiltonian DAE system (usually with a higher index). After establishing the system of spacecraft dynamics, we can derive the optimal guidance law of the system by the proposed numerical method. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/17564 |
ISSN: | 1023-2796 |
DOI: | |
顯示於: | 電機工程學系 |
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