New Theory for Sampled-Data Control Systems and Its Applications

采样数据控制系统新理论及其应用

• 批准号: 05452220
• 负责人: YAMAMOTO Yutaka
• 金额: $ 4.22万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05452220/
• 关键词: Sampled-Data Control; Digital Control; Frequency Response; Lifting; H^* Control; リフテイング

The present research project intends to give a systematic study of the modern function theoretic approach, developed by the principal investigator, to sampled-data control systems. The emphasis here is upon the built-in intersample behavior in the design model based on the new notion called lifting, thereby differing greatly from the classical context. It aims at advancing1.frequency domain analysis/synthesis methods,2.introduction and introduction and computation of frequency response,3.H^* design methods4.algorithms for these computational issues.During the research term, we have successfully obtained the following results :1.introduction of the new notion of frequency response for sampled-data systems,2.relationship with the impulse modulation formula,3.its characterization via finite-dimensional eigenvalue problem,4.a solution to the H^* optimization problem,5.various computational algorithms,6.implementation as a CAD package.A promising sign of application toward signal processing has also been obtained. The interplay of the present research with this theme is undoubtedly the most logical, related and perhaps most fruitful target for the future.

本研究计画旨在系统地研究现代函数理论方法，由主要研究者开发，以采样数据控制系统。这里的重点是基于称为提升的新概念的设计模型中的内置样本间行为，从而与经典上下文有很大不同。本课题的主要研究内容包括：1.频域分析/综合方法; 2.频率响应的介绍与计算; 3. H ^* 设计方法; 4.这些计算问题的算法。1.引入采样数据系统频率响应的新概念，2.与脉冲调制公式的关系，3.通过有限维特征值问题表征频率响应，4. H^* 优化问题的解决方案，5.各种计算算法，6.作为一个CAD软件包的实现，在信号处理方面也取得了很好的应用前景。目前的研究与这一主题的相互作用无疑是最合乎逻辑的，相关的，也许是最富有成果的目标，为未来。

项目成果

Y.Yamamoto: "Frequency response of sampled-data systems" IEEE Trans.Autom.Control. (1996)

Y.Yamamoto：“采样数据系统的频率响应”IEEE Trans.Autom.Control。

山本裕: "H^∞感度最適化問題の解法間の同値性" 計測自動制御学会論文集. 31. 1954-1961 (1995)

Yutaka Yamamoto：“H^∞ 灵敏度优化问题的解之间的等效性”仪器与控制工程师协会会议记录 31。1954-1961（1995 年）。

Yutaka Yamamoto and Mituhiko Araki: "Frequency responses for sampled-data systems-their equivalence and relationships" Linear Algebra and Its Applications. (掲載予定). (1993)

Yutaka Yamamoto 和 Mituhiko Araki：“采样数据系统的频率响应 - 它们的等价性和关系”线性代数及其应用（即将出版）。

Yutaka Yamamoto: "Learning control and related problems in infinite-dimensional systems" Essays on Control:Perspectives in the Theory and its Applications Birkhauser. 191-222 (1993)

Yutaka Yamamoto：“无限维系统中的学习控制及相关问题”控制论文集：理论及其应用的观点 Birkhauser。

K.Hirata: "The equivalence among the solutions of the H^* optimal sensitivity computation problem" SICE Transactions. vol.31. 1954-1961 (1995)

K.Hirata：“H^* 最优灵敏度计算问题的解之间的等价性”SICE Transactions。