Enhanced scaling technique for control system analysis/synthesis based on operator theoretic and algebraic approaches
| Project/Area Number |
24560545
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Control engineering
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | サンプル値制御系 / むだ時間系 / compression 作用素 / 高速リフティング / スケーリング / 作用素近似 / 非因果的周期時変スケーリング / compression作用素 / 区分的1次関数近似 / 誘導ノルム解析 / ロバスト安定性 / 無限行列表現 / 微分差分方程式 |
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| Outline of Final Research Achievements |
This paper aims at an operator theoretic approach to sampled-data and time-delay systems, in which compression operators play a key role especially when we deal with their stability analysis through scaling-based approaches. It studies such operators defined on a space different from those in conventional studies and covers analysis and synthesis problems relevant to essentially bounded signals. For time-delay systems, such a change in the space does not affect the stability definition itself but could be effective in alleviating some numerical issues in the stability analysis. In sampled-data systems, the use of the new space is connected to the upper/lower bounds analysis of the L-infinity induced norm and a relevant synthesis problem, which can be tackled through piecewise constant and piecewise linear approximations of signals. The effectiveness of the discrete-time arguments relevant to the scaling approach is also confirmed through experiments with a real system.
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Report
(4 results)
Research Products
(24 results)
