New Theory for Sampled-Data Control Systems and Its Applications

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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.