| Project/Area Number |
24560558
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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
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| Research Institution | Nanzan University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
CHEN Gan 南山大学, 理工学部, 准教授 (00295718)
OKUMURA Yasuyuki 南山大学, 理工学部, 教授 (90434604)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 制御理論 / 非線形制御 / ２乗和多項式 / モデル予測制御 / 量子化制御 / サンプル値制御 / 区分構造 / 分岐 / 量子化 / 不変集合 / 擬似線形表現 / 離散化 / Picard反復 / 縮小写像の定理 / 計算量 / 近似誤差 / 非線形系 / 有限時間Lyapunov指数 / オンライン計算 / 双対性 / 安定度 / 半正定値計画問題 / ペナルティ関数法 |
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| Outline of Final Research Achievements |
For control of nonlinear and/or large-scale systems, new approaches are explored through structure design of sum-of-squares polynomials and control systems. In particular, a new method based on a piecewise polynomial is investigated for design of a model predictive controller in order to avoid computation of a piecewise structure involved in the problem. Parameter control for a nonlinear dynamical system is considered with a stability index and a matrix inequality in order to suppress undesirable bifurcation and chaos. Moreover, in order to control a nonlinear system with a quantized input or a discrete-time input, new methodology is proposed using sum-of-squares polynomials, linear-like representation, the Picard iteration, and the contraction mapping theorem.
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