Analysis and design methods of nonlinear control systems based on the model representation preserving nonlinearities
| Project/Area Number |
17560393
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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 | Osaka University |
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Principal Investigator |
WADA Teruyo Osaka University, Graduate School of Engineering, Specially appointed associate professor (70201259)
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| Co-Investigator(Kenkyū-buntansha) |
IKEDA Masao Osaka University, Graduate School of Engineering, Professor (00031146)
IMAI Jun Okayama University, Graduate School of Natural Science and Technology, Senior assistant professor (50243986)
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| Project Period (FY) |
2005 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥3,800,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
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| Keywords | Nonlinear systems / Descriptor systems / Stability analysis / Absolute stability / Lur'e System / Linear time-varying system / ディスクリプタ方程式 / モデル表現 / 絶対安定条件 |
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| Research Abstract |
In other m develop analysis and design methods of nonlinear control systems based on the model representation preserving nonlinearities, this research accomplisbed the basic theoretical results as follows :
1. Stability conditions for nonlinear descriptor systems
Nonlinear descriptor equations were adopted as model representation preserving nonlinearities, and stability conditions were derived for general descriptor systems with non-smooth nonlinearities.
2. Absolute stability conditions for Lur'e-type descriptor systems
For Lur'e-type desciptor systems which consist of linear descriptor systems and static nonlinearities, conditions of absolute stability as well as existence of solutions were derived as linear matrix inequalities (LMIs).
Theoretical development of linear time-varying systems leads to that of nonlinear systems. Thus, conditions of stability and stabilizability of linear time-varying descriptor systems were derived as linear matrix differential inequalities (LMdIs).
Theoretical development of linear time-varying systems leads to that of nonlinear systems. Thus, conditions of stability and stabliralnlity of linear time-varying descriptor systems were derived as linear matrix differential inequalities (LMdIs).
4. Theoretical modeling and design methods for practical systems
Controller synthesis methods for infinite dimensional systems with spatially distributed control variables were derived, based on finite dimensional design model with the approximation error bounds. Furthermore, disturbance rejection problem for control systems with actuator saturation were solved.
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Report
(4 results)
Research Products
(35 results)
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[Presentation] 空間分布した制御量の有限次元制御問題2007
Author(s)
今井 純
Organizer
計測自動制御学会 第36回制御理論シンポジウム
Place of Presentation
ライフォート札幌(北海道札幌市)
Year and Date
2007-09-06
Description
「研究成果報告書概要(和文)」より
Related Report
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[Presentation] 非線形ディスクリプタシステムに対する安定条件2005
Author(s)
和田 光代, 池田 雅夫, 上里 英輔
Organizer
計測自動制御学会 第34回制御理論シンポジウム
Place of Presentation
コスモスクエア国際交流センター(大阪府大阪市)
Year and Date
2005-10-31
Description
「研究成果報告書概要(和文)」より
Related Report
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