2017 Fiscal Year Final Research Report
New Development for Control Performance Analysis of Continuous-Time and Sampled-Data Systems through Operator Theoretic Approach and Relevant Studies
| Project/Area Number |
15K06138
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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/System engineering
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Research Collaborator |
Kim Jung Hoon
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | サンプル値系 / むだ時間系 / L∞ノルム / 入力近似 / 核関数近似 / 高速リフティング / 作用素論 / H2ノルム |
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| Outline of Final Research Achievements |
This project gave several new results through an operator theoretic approach on the control performance of not only sampled-data systems but also continuous-time finite-dimensional linear time-invariant systems and time-delay systems. For the L∞ induced norm analysis problem, piecewise constant and linear approximation schemes were studied for the input and kernel functions through the fast-lifting approach. Computation methods through finite-dimensional matrices were developed and the convergence orders of the associated approximation errors were clarified. Refined arguments were also given for the case of finite-dimensional linear time-invariant systems. The optimal controller synthesis problem for the L∞ induced norm reduction problem was also tackled through the derivation of a key inequality relevant to operator approximation. Some relevant results on the stability analysis of time-delay systems were also given.
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| Free Research Field |
制御工学
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