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振動的なリッカチ方程式求解過程の収束性改善
https://nias.repo.nii.ac.jp/records/849
https://nias.repo.nii.ac.jp/records/84909a0876f-afeb-4485-aefb-b909e0f1e2e9
名前 / ファイル | ライセンス | アクション |
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振動的なリッカチ方程式求解過程の収束性改善 (925.4 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
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公開日 | 2020-12-25 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 振動的なリッカチ方程式求解過程の収束性改善 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Acceleration of Oscillational Iterative Process to Solve the Riccati Equation | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Riccati equation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Lyapunov eqaution | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | optimal regulator | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | filtering | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | iterative error analysis | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
著者名(日) |
金丸, 英幸
× 金丸, 英幸 |
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著者所属(日) | ||||||
ja | ||||||
長崎総合科学大学 | ||||||
著者所属(英) | ||||||
en | ||||||
Nagasaki Institute of Applied Science | ||||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Several methods to solve the Riccati equation are proposed for the optimal regulator problem in modern control theory. In some cases, a solution of the Riccati equation is reached through iterative calculation. But many steps of iteration are sometimes required because of oscillation of iterative process. In this paper, numerical error between left and right sides of matrix-type Riccati equation is treated as a criterion of convergence, and a filtering technique is presented to reduce the number of iterations. Furthermore, the appropriate value of filtering parameter is decided analytically on the basis of the way to get a solution through Lyapunov equation derived from Riccati equation. Finally, the effectiveness of the results of this study is confirmed as well as improvement of efficiency of iterative process by parametric studies of numerical simulation. |
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言語 | en | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 24239976 | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA1274191X | |||||
書誌情報 |
ja : 長崎総合科学大学紀要 en : Bulletin of the Nagasaki Institute of Applied Science 巻 60, 号 2, p. 235-244, 発行日 2020-12-25 |
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発行者 | ||||||
言語 | ja | |||||
出版者 | 長崎総合科学大学附属図書館運営委員会 |