Deepening of control theory for systems with stochastic dynamics and its application

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K04546
• 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: Kyoto University
• Principal Investigator: Hosoe Yohei 京都大学, 工学研究科, 講師 (50726411)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 制御工学 / 確率系 / 確率システム / 確率制御 / LMI / 確率的動特性 / ランダムポリトープ / ネットワーク化制御系

Outline of Final Research Achievements

In this project, we worked on subprojects related to deepening of control theory for systems with stochastic dynamics and its application. In the case where the stochastic process determining the dynamics is given by an i.i.d. (independent and identically distributed) process, we derived linear matrix inequality conditions for various control problems. In addition, in the case where no constraints are imposed on the stochastic process, we succeeded in deriving Lyapunov inequalities that characterize stability in a necessary and sufficient sense.

Free Research Field

制御工学

Academic Significance and Societal Importance of the Research Achievements

本研究で得られた成果のうち，一般の確率過程で動特性が決まる系に関するものについては，既知の結果を含む様々な安定性の議論を包含するものとなっており，その活用によって確率制御に関する新たな領域の開拓が可能となった．また，確率過程をi.i.d.に限定する状況下で得られた成果をネットワーク化制御系に応用できることが明らかとなり，自動車の遠隔型自動運転等の社会課題解決に貢献できることが期待される．