Error Bound and Performance Guarantee for Nonlinear Control: Application of Validated Numerical Computation and Sum-of-Squares Polynomials
| Project/Area Number |
15K06157
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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 | Nanzan University |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| 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: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 非線形システム / サンプル値制御 / 最適制御 / 精度保証つき数値計算 / ２乗和多項式 / 安定多様体法 / 平均ベクトル場法 / 射撃法 / Hamilton系 / 蓄電池 / 太陽光発電 / 電力買い取り / サンプル時刻間性能 / 楕円制限三体問題 / 周期的システム / 離散化 / 擬似線形表現 / パラメータ依存線形行列不等式 / コントロールモーメントジャイロスコープ |
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| Outline of Final Research Achievements |
For sampled-data control and optimal control of a nonlinear system, new methodology is developed with numerical computational techniques and optimization techniques. First, in order to design a sampled-data controller for a nonlinear system with performance guarantee, it is proposed to discretize a given nonlinear system with an error bound and to design a robust controller. This is realized with the techniques of validated numerical computation and sum-of-squares polynomials. Also, for improvement of the stable-manifold method, which is a promising method for nonlinear optimal control, it is proposed to introduce the mean-vector-field method for trajectory computation of the associated Hamiltonian system and to develop a shooting method for systematic choice of an initial point of the trajectory. Moreover, application of nonlinear control and optimal control is considered to practical systems.
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Report
(4 results)
Research Products
(17 results)
