2010 Fiscal Year Final Research Report
Development of Synthesis Methods of Robust Nonlinear Control Systems Based on Numerical Optimization
| Project/Area Number |
20560420
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Control engineering
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| Research Institution | Hiroshima University |
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Principal Investigator |
MASUBUCHI Izumi Hiroshima University, 大学院・工学研究院, 准教授 (90283150)
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| Project Period (FY) |
2008 – 2010
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| Keywords | ロバスト制御 / ゲインスケジュールド制御 / 線形行列不等式 / 非線形システム / 非線形制御 / 密度関数 / ロバスト半正定値計画 / 厳密性 |
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| Research Abstract |
The objective of this research is to provide basic theory for robustness analysis, nonlinear system analysis and numerical mythologies to efficiently solve problems in control, aimed to answer stringent requirements in practical control problems to design control systems that work under such as uncertainties and nonlinearities with guarantee of control performance. The outcomes of this research include advanced synthesis methods of gain-scheduled controllers, generalization of stability analysis by using Rantzer's density functions and its application to synthesis of nonlinear control gains, and methods for robust SDPs focusing on numerical verification of strictness of relaxations of robust SDPs
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