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外乱を受ける線形状態フィードバック系の状態変数の共分散指定による設計法
https://jaxa.repo.nii.ac.jp/records/44745
https://jaxa.repo.nii.ac.jp/records/44745be462955-c735-4fcd-bee7-c73222560a7f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
naltr00492.pdf (1.1 MB)
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| Item type | テクニカルレポート / Technical Report(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2015-03-26 | |||||||||
| タイトル | ||||||||||
| タイトル | 外乱を受ける線形状態フィードバック系の状態変数の共分散指定による設計法 | |||||||||
| 言語 | ||||||||||
| 言語 | jpn | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||||||
| 資源タイプ | technical report | |||||||||
| その他のタイトル（英） | ||||||||||
| その他のタイトル | Realization of Prescribed State Covariance for Linear State-Feedback Control Systems with Disturbances | |||||||||
| 著者 |
永安, 正彦
× 永安, 正彦
× NAGAYASU, Masahiko
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| 著者所属 | ||||||||||
| 航空宇宙技術研究所計測部 | ||||||||||
| 著者所属（英） | ||||||||||
| en | ||||||||||
| Instrumentation and Control Division, National Aerospace Laboratory(NAL) | ||||||||||
| 出版者 | ||||||||||
| 出版者 | 航空宇宙技術研究所 | |||||||||
| 出版者（英） | ||||||||||
| 出版者 | National Aerospace Laboratory(NAL) | |||||||||
| 書誌情報 |
航空宇宙技術研究所報告 en : Technical Report of National Aerospace Laboratory TR-492 巻 492, p. 14, 発行日 1977-02 |
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| 抄録（英） | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | This paper discusses optimal instantaneous state feedback control problems for time-invariant linear systems with additive white disturbances. Linear stochastic control problems, based on the quadratic performance criterion, have been considered many times over the past years. The relationships, however, between performance criterion and behavior of the resultant closed loop system are still in question today. The purpose of this paper is to present a design approach from the viewpoint, in which the state covariance matrix of the closed loop system is specified, and show the method of determining optimal constant feedback gains. The primary design objective is to make the stationary state covariance matrix coincide with the prescribed covariance matrix. As is shown, the state feedback gain matrix through which the state covariance of the closed loop system converges with that prescribed can be found as the time tends to infinity if and only if the dimension of the state variable is equal to the dimension of the control variable. If the former is greater than the latter, certain constraints imposed on the prescribing covariance matrix are derived. Using gradient matrices, the optimal feedback gain matrix is obtained under the requirement of the state covariance coinciding with that prescribed for minimizing the control effort. | |||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0389-4010 | |||||||||
| 資料番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 資料番号: NALTR0492000 | |||||||||
| レポート番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | レポート番号: NAL TR-492 | |||||||||
