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논문 기본 정보

자료유형
학술대회자료
저자정보
Yuki Tanaka (The University of Electro-Communications) Osamu Kaneko (The University of Electro-Communications)
저널정보
제어로봇시스템학회 제어로봇시스템학회 국제학술대회 논문집 ICCAS 2023
발행연도
2023.10
수록면
60 - 65 (6page)

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In control system synthesis and analysis, the usage of mathematical models is the most rational approach, which is referred to as the model-based approach. If it is difficult to obtain appropriate models, the direct usage of the data is also another way to synthesis and analysis of the systems, which is referred to as the data-driven approach. The data-driven control based on data informativity was proposed as a framework to consider these two approaches from a unified perspective. The data-informativity approach theoretically clarifies the advantages of data-driven control but also has mathematical aspects, such as further clarification of the algebraic duality between the space of time series data and the space of functions acting on those data. Based on this mathematical point of view, there are many unknowns about the relationship between transformations between data spaces and transformations between function spaces corresponding to each data space. This study focuses on equivalent transformations that play an important role in model-based control and considers them in the context of data-driven control based on the data-informativity approach. To consider equivalent transformations in the data-informativity approach, it is necessary to consider the correspondence as a set of models. We provide this correspondence by introducing homology theory. Furthermore, by using the results of equivalent transformations based on the data-informativity approach, we show once again the data informativity for observability.

목차

Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULT
4. CONCLUDING REMARKS
REFERENCES

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