| Project/Area Number |
59350021
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| Research Category |
Grant-in-Aid for Co-operative Research (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
計測・制御工学
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| Research Institution | Kyoto Institute of Technology |
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Principal Investigator |
SUNAHARA Yoshifumi Faculty of Polytechnic Sciences, Kyoto Institute of Technology, Professor, 工芸学部, 教授 (70027746)
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| Co-Investigator(Kenkyū-buntansha) |
OHSUMI Akira Faculty of Polytechnic Sciences, Kyoto Institute of Technology, Associate Profes, 工芸学部, 助教授 (70027902)
ICHIKAWA Akira Faculty of Engineering, Shizuoka University, Associate Professor, 工学部, 助教授 (00115437)
KITAMURA Shinzo Faculty of Engineering, Kobe University, Professor, 工学部, 教授 (80029131)
SHIMEMURA Etsujiro Faculty of Science and Engineering, Waseda University, Professor, 理工学部, 教授 (80063585)
SAGARA Setsuo Faculty of Engineering, Kyushu University, Professor, 工学部, 教授 (60037679)
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| Project Period (FY) |
1984 – 1986
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| Project Status |
Completed (Fiscal Year 1986)
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| Budget Amount *help |
¥7,500,000 (Direct Cost: ¥7,500,000)
Fiscal Year 1986: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1985: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1984: ¥5,000,000 (Direct Cost: ¥5,000,000)
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| Keywords | Distributed parameter system / Stochastic distributed parameter system / Partial differential equation / Stochastic partial differential equation / Functional space / Parameter estimation / Minimum variance estimate / 最丈推定 |
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| Research Abstract |
1. Mathematical Models of Stochastic Distributed Parameter Systems and Their Mathematical Aspects: Mathematical models have been established for describing several physical systems of diffusions and/or distributions of temperature, pressure, etc. as well as systems having moving boundaries. And conditions of the existence of unique solutions were studied for the established models from the mathematical point of view, and then the modelling of the distributed parameter systems has been established.
2. Establishment of Mathematical Formulation of Parameter Estimation Theory: Several methods of the parameter estimation have been established for estimating unknown parameters appearing in the mathematical system models and/or in their boundary conditions. The main ideas were the introduction of the minimum variance estimate and the maximum likelihood one, and, during this Co-operative Research, the theory of parameter estimation was extensively developed from the lumped parameter systems to
… More
the distributed parameter ones.
3. Adjustment and Development of Parameter Estimation Algorithms: Although the numerical computation for the parameter estimation is so massive and complicated, in this research, by introducing the finite element method and the boundary element method, a great contribution was made for establishing the method of numerical computation of parameter estimation. Also the investigation of the computational accuracy which is the central issue when the infinite-dimensional systems are approximated by suitable finite-dimensional ones was performed and contributed in the development of numerical algorithms.
4. Application of Parameter Estimation Algorithms to Real Systems: Algorithms developed in this research were applied and tested in the field of remote-sensing using the LANDSAT data, solar energy collection system, space technology, estimation of meteorological field, and so on.
5. Conclusion: As shown in the research report attached to this format, this Co-operative Research has achieved a great success in the systematic study of parameter estimation for the distributed parameter systems. Less
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