Sampled-Data Control & Digital Signal Processing

采样数据控制

• 批准号: 08455196
• 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 Scientific Research (B)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08455196/
• 关键词: Sampled-data control; Signal Processing; Filter Bank; H^* control; Repetitive control; Sample-rate conversion; ディジタル信号処理; マルチレートフィルタ; 周波数応答; リフティング; H^<10>制御

The present research project intends to advance and apply the modern function theoretic approach, developed by the principal investigator, to sampled-data control systems and apply it to digital signal processing. 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 treatment. In particular, it gives a comfortable platform for dealing with continuous-time behavior of digital filters in contrast to the conventional discrete-time domain techniques in digital signal processing.It aims at advancing1. frequency domain analysis/synthesis methods,2. approximate methods for computing the frequency response3. framework for filter synthesis with sampled-data control4. extension to multirate filter banks5. application to various concrete situations.During the research term, we have successfully obtained the following results :1. Convergence proof of approximate frequency responses to that of the original sampled-data system2. Reduction formula for single-rate signal reconstruction problem3. Its extension to multirate filter banks4. Application to the design of optimal DA converters5. Application to the repetitive control scheme6. implementation as a CAD package.A promising sign of connection with wavelets has also been obtained. The interplay of the present research with this theme is undoubtedly the most interesting and fruitful target for the future.

本研究项目旨在推进和应用由主要研究者开发的现代功能理论方法，以对数据控制系统进行采样，并将其应用于数字信号处理。这里的重点放在设计模型中的内置样本间行为上，基于称为提升的新概念，从而与经典待遇有很大不同。特别是，它为处理数字过滤器的连续时间行为提供了一个舒适的平台，与数字信号处理中的常规离散时间域技术相反，它旨在Advancing1。频域分析/合成方法，2。计算频率响应的近似方法3。使用采样数据控制4的滤波器合成框架4。扩展到多级过滤器库5。在各种具体情况下的应用。在研究术语中，我们成功获得了以下结果：1。对原始采样数据系统的近似频率响应的收敛证明。单速率信号重建问题的还原公式3。它扩展到多级过滤器库4。应用于最佳DA转换器的设计5。应用于重复控制方案6。还获得了与小波连接的有前途的迹象。本研究与该主题的相互作用无疑是未来最有趣，最富有成果的目标。

项目成果

山本 裕: "システムと制御の数学" 朝倉書店, 280 (1998)

山本丰：《系统与控制的数学》朝仓书店，280（1998）

Y.Yamamoto: "A retrospective view on sampled-data control systems" CWI Quarterly. vol.9, no.3. 261-276 (1996)

Y.Yamamoto：“采样数据控制系统的回顾”CWI 季刊。

Y.Yamamoto: "Performance lower bound for a sampled-data signal reconstruction" Open Problems in Mathematical Systems and Control Theory. 277-280 (1998)

Y.Yamamoto：“采样数据信号重建的性能下限”数学系统和控制理论中的开放问题。

Y.Yamamoto: "Coprimeness of factorizations over a ring of distibutions" Open Problems in Mathmatical Systems and Control Theory. V.D.Blondel et al.Eds., Springer. 281-284 (1998)

Y.Yamamoto：“分布环上因式分解的互质性”数学系统和控制理论中的开放问题。

Y.Yamamoto and P.P.Khargonekar: "Frequency response of sampled-data systems" IEEE Trans.Autom.Control. vol.AC-41. 166-176 (1996)

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