A Study on Generalized Invariant Subspaces and Robust Disturbance-Rejection Problems
| Project/Area Number |
11650408
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
System engineering
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| Research Institution | Tokyo Denki University (2000)
University of Tsukuba (1999) |
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Principal Investigator |
OTSUKA Naohisa Tokyo Denki University, College of Science and Engineering, Associate Professor, 理工学部・情報科学科, 助教授 (30185318)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥1,600,000 (Direct Cost: ¥1,600,000)
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| Keywords | Invariant Subspaces / Uncertain Systems / Robustness / Disturbance-Rejection |
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| Research Abstract |
The project of this study consists of the following five parts.
(1) The first study is to introduce the concepts of generalized invariant subspaces for uncertain linear finite-dimensional systems and to investigate the relationship between the special finite set of linear systems and a given uncertain linear system in the framework of the so-called geometric approach.
(2) The second study is to investigate some fundamental properties concerning the generalized invariant subspaces and to formulate the disturbance-rejection problems with output feedback and / or dynamic compensator. Further, it is to obtain the solvability conditions for the problems.
(3) The third study is to introduce the concepts of generalized invariant subspaces for uncertain linear infinite-dimensional systems and to investigate their properties.
(4) The fourth study is to formulate the disturbance-rejection problems with state and / or output feedback for infinite-dimensional systems and to obtain the solvability conditions for the problems.
(5) The fifth study is to formulate the disturbance-rejection problem with dynamic compensator for infinite-dimensional systems and to obtain the solvability conditions for the problem.
As results of the above studies, some generalized invariant subspaces for uncertain linear finite- and/or infinite-dimensional systems were introduced, respectively and their properties were investigated.Further, the disturbance-rejection problems with state feedback, output feedback and dynamic compensator were formulated and some solvability conditions were given.
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Report
(3 results)
Research Products
(24 results)
