New Development for Control Performance Analysis of Continuous-Time and Sampled-Data Systems through Operator Theoretic Approach and Relevant Studies
| Project/Area Number |
15K06138
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Control engineering/System engineering
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
|
|---|
| Research Collaborator |
Kim Jung Hoon
|
|---|
| Project Period (FY) |
2015-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
|---|
| 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 / H2性能 / L∞/L2誘導ノルム / 一般化制御対象の離散化 / 最適制御器 / 関数空間L∞ / 関数空間L2 / 線形行列不等式 / 制御系の性能解析 |
|---|
| 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.
|
Report
(4 results)
Research Products
(23 results)
