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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| TAC.2014.2321231.pdf | 140.65 kB | Adobe PDF | 見る/開く |
| タイトル: | A Recursive Elimination Method for Finite-Horizon Optimal Control Problems of Discrete-Time Rational Systems |
| 著者: | Ohtsuka, Toshiyuki    https://orcid.org/0000-0003-3554-8933 (unconfirmed) |
| 著者名の別形: | 大塚, 敏之 |
| キーワード: | Discrete-time systems Euler–Lagrange equations (ELE) nonlinear systems optimal control |
| 発行日: | Nov-2014 |
| 出版者: | Institute of Electrical and Electronics Engineers (IEEE) |
| 誌名: | IEEE Transactions on Automatic Control |
| 巻: | 59 |
| 号: | 11 |
| 開始ページ: | 3081 |
| 終了ページ: | 3086 |
| 抄録: | In this technical note, a method of solving finite-horizon optimal control problems involving discrete-time rational systems is proposed. Sequences of algebraic equations for the control input and costate at each time are constructed backward, starting from the terminal condition, by the recursive elimination of variables in the optimality conditions. This recursive elimination can be viewed as a generalization of the classical backward sweep method to obtain the discrete-time Riccati equation for finite-horizon linear quadratic control. Sufficient conditions are given for the existence and uniqueness of locally optimal state feedback laws in the form of algebraic functions of the state. |
| 著作権等: | © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/191217 |
| DOI(出版社版): | 10.1109/TAC.2014.2321231 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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