Development of Control Theory for Achieving Dependability in Large-Scale Systems

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K04547
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 21040:Control and system engineering-related
• Research Institution: Osaka University
• Principal Investigator: Fujisaki Yasumasa 大阪大学, 大学院情報科学研究科, 教授 (30238555)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 制御工学 / 数理工学 / アルゴリズム / モデル化 / ディペンダブル・コンピューティング

Outline of Final Research Achievements

This research investigated the dependability of large-scale control systems from both theoretical and application viewpoints. A distributed cooperative adaptive tracking control was developed for large-scale dynamical systems, where a dependable control performance is ensured. Furthermore, a convergence condition was established for a class of probabilistic approximation which is useful for solving large-scale linear equations in a distributed way. Regarding opinion dynamics, which is a mathematical model representing consensus formation in social networks, an analysis was conducted on the relationship between network structure, group size of opinion exchange, and consensus formation, where a parameter governing average behavior was clarified.

Free Research Field

工学

Academic Significance and Societal Importance of the Research Achievements

ネットワーク化された大規模な動的システムやネットワーク上の分散反復アルゴリズムのいくつかを対象に、ディペンダビリティ（信頼性）を解析・設計するための基礎理論を構築した。対象のダイナミクスやネットワーク構造を適切な数理モデルを用いてシステム表現することにより、大規模システムや分散アルゴリズムのディペンダビリティについて数理的に解析することができ、性能保証をもつ制御系が設計できることを明らかにした。