2001 Fiscal Year Final Research Report Summary
DEVELOPMENT OF INFORMATION SYSTEM TGHEORY VIA POLYNOMIAL MATRIX ALGEBRA : A CONTROL ENGINEERING APPROACH
| Project/Area Number |
12650447
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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 |
Control engineering
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| Research Institution | NARA INSTITUTE OF SCIENCE AND TECHNOLOGY |
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Principal Investigator |
SUGIMITO Kenji NARA INSTITUTE OF SCIENCE AND TECHNOLOGY, GRADUATE SCHOOL OF INFORMATION SCIENCE, PROFESSOR, 情報科学研究科, 教授 (20179154)
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| Co-Investigator(Kenkyū-buntansha) |
SATOH Atsushi NARA INSTITUTE OF SCIENCE AND TECHNOLOGY, GRADUATE SCHOOL OF INFORMATION SCIENCE, ASSISTANT PROFESSOR, 情報科学研究科, 助手 (60324969)
KASAHARA Shoji NARA INSTITUTE OF SCIENCE AND TECHNOLOGY, GRADUATE SCHOOL OF INFORMATION SCIENCE, ASSOCIATE PROFESSOR, 情報科学研究科, 助教授 (20263139)
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| Project Period (FY) |
2000 – 2001
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| Keywords | polynomial matrix / control engineering / system theory / matrix algebra / transfer function / information system / control system design / coprime factorization |
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| Research Abstract |
1) We have applied the recursive OR factorization, which is known as a numerically stable computational method, to polynomial matrix fraction, thereby constructing a new scheme for Model Reference Adaptive Control System for the continuous-time MIMO case. This is superior to the conventional recursive least square method from a conditional number point of view, and hence is suitable for computer process.
2) We have given a method for robust stability analysis by means of a numerical optimization method based upon Linear Matrix Inequality, and generalized an existing polynomial method for designing robust/optimal control. Furthermore, we have applied this method to a flight control problem. Then it has turned out that our polynomial matrix method has a close relationship to what is called eigenstructure assignment method in the American Institute of Aerospace and Aeronautics.
3) Concerning information system theory, we have done performance evaluation of light-path configuration with GMPLS for WDM ring networks by means of queueing theory, which is widely known in the area of operations research. We have also proposed a simple cell scheduling method for application level jitter reduction over ATM-ABR service.
4) We have found several difficulties in extending our polynomial matrix method to the GF(2) field, which is one of the final goals of this research. We are thus continuing our effort toward this end.
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