| Project/Area Number |
08455192
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
計測・制御工学
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
MITA Tsutomu Tokyo Institute of Technology, Professor, 工学部, 教授 (60092102)
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| Co-Investigator(Kenkyū-buntansha) |
LIU Kang Zhi Chiba University, Associated Professor, 工学部, 助教授 (70240413)
三平 満司 東京工業大学, 大学院・情報理工学研究科, 助教授 (00196338)
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| Project Period (FY) |
1996 – 1997
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| Project Status |
Completed (Fiscal Year 1997)
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| Budget Amount *help |
¥3,800,000 (Direct Cost: ¥3,800,000)
Fiscal Year 1997: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1996: ¥2,000,000 (Direct Cost: ¥2,000,000)
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| Keywords | H_* control / Comprehensive stability / Zeros / Singular control / Spectral factoriztion / H_2 control / zeros / Intractor / H_∞Control / H_∞Estimation / 特異H_∞制御 / 特異H_2制御 / 特異スペクトル分解 / サーボ系推定問題 |
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| Research Abstract |
The H_* control is a theory which nowadays is applied to many industrial control problems. However, we often cannot use the standard solution because of the following required restrictive pre-conditions :
1. (A,B_2) is stabilizable and (A,C_2) is detectable.
2. G_<12> (s) is of full column rank and G_<21> (s) is of row full rank for all s including *.
In this research work, we firstly solved these problems and applied the outcome to industrial applications in order to confirm the usefulness. The results we have obtained are the following :
1. When we solve the servo and estimation problems, we have to deal with a generalized plant having unstable weights which violate the first condition. In order to give solutions to these nonstandard problems, we first introduced a notion of comprehensively stability and proposed extended H_* and H_2 controls using this concept which solve the nonstandard problems.
2. When we use the H_* control to solve important problems other than the well known mixed sensitivity problem, G_<12> (s) and/or G_<21> (s) sometimes violate the second condition. The control which avoids this condition is called the singular control. We solved the singular H_* controls by developing singular spectral factorization.
3. We applied the obtained results to the control of a mine cart and the frequency control of an electricity power system.
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