Study of Model Predictive Control for Implicit Nonlinear Systems

• Project/Area Number: 18K04216
• 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 Institute of Technology
• Principal Investigator: Hashimoto Tomoaki 大阪工業大学, 工学部, 准教授 (90515115)
• Project Period (FY): 2018-04-01 – 2024-03-31
• Project Status: Completed (Fiscal Year 2023)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 制御工学 / システム工学

Outline of Final Research Achievements

So far, no systematic control design methods have been proposed for implicit nonlinear systems. In this study, based on model predictive control which is a kind of optimal feedback control method, a systematic control design method was established for a wide class of systems described by implicit nonlinear systems. Furthermore, the proposed method was applied to the control problem of electrical network circuits described by Brayton-Moser equation. Consequently, the effectiveness of the proposed method was verified by numerical simulations.

Academic Significance and Societal Importance of the Research Achievements

陰的システムは陽的システムを包括するように一般化されているので，陰的システムに対する制御理論を構築する方が，陽的システムに比べてより学術的価値が高いといえる．しかしながら，これまでの制御理論研究の大部分が陽的システムを対象としており，陰的システムに対する研究は全体の１割に満たない状況である．本研究では，一般化された陰的システムに対する制御系設計手法が新たに確立されており，独創的で汎用性のある意義深い研究成果が得られていると考えられる．

Research Products

• [Journal Article] Stability Analysis for Discretized Brayton-Moser Equations with Implicit Model Predictive Control (2023)
  • Author(s): Tomoaki Hashimoto
  • Journal Title: International Journal of Applied Engineering and Technology Volume: 5 Pages: 1772-1780
  • Peer Reviewed / Open Access
• [Journal Article] Model Predictive Control with Unscented Kalman Filter for Nonlinear Implicit Systems (2018)
  • Author(s): Takashi SHIMIZU, Tomoaki HASHIMOTO
  • Journal Title: International Journal of Mathematical and Computational Sciences Volume: Vol. 12, No. 7 Pages: 147-151
  • DOI: 10.5281/ZENODO.1340585
  • Peer Reviewed / Open Access
• [Presentation] Implicit Model Predictive Control for Discretized Brayton-Moser Equations (2022)
  • Author(s): Tomoaki Hashimoto
  • Organizer: International Conference on Control, Automation, and Systems
  • Int'l Joint Research
• [Presentation] Model Predictive Control based on Contraction Mapping Method for Stabilization of Vehicle Nonlinear Dynamics (2020)
  • Author(s): Hiroto YOSHIOKA, Tomoaki HASHIMOTO
  • Organizer: International Conference on Civil, Mechanical, Production and Industrial Engineering
  • Int'l Joint Research
• [Presentation] バーガース方程式に対する状態推定システムの設計 (2020)
  • Author(s): 志水孝至, 橋本智昭
  • Organizer: 日本機械学会 関西支部第95期定時総会講演会
• [Presentation] Model Predictive Control with Unscented Kalman Filter for Nonlinear Implicit Systems (2018)
  • Author(s): Takashi SHIMIZU, Tomoaki HASHIMOTO
  • Organizer: The 20th International Conference on Mathematics and Applications
  • Int'l Joint Research