Construction of nonlinear optimal control theory based on fusion of quantization methods for HJB equations and stochastic processes
| Project/Area Number |
22760320
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Control engineering
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| Research Institution | Kagoshima University (2011-2012)
Yamaguchi University (2010) |
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Principal Investigator |
NISHIMURA Yuki 鹿児島大学, 大学院・理工学研究科, 准教授 (20549018)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 非線形制御 / 最適制御 / 確率制御 / 量子化 / リャプノフ安定性 / 安定論 / 正準量子化 / 確率過程 / 超音波モータ |
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| Research Abstract |
To stabilize nonlinear control systems such as nonholonomic systems, discontinuous state-feedback control laws should be designed 。 Furthermore, energy conservation measures are recently required for controlling mechanical and electrical dynamical systems。 To solve the problems at one time, this research has proposed a new numerical approximation method for nonlinear optimal regulator problems by combining two quantization methods of Hamilton-Jacobi-Bellman equations and stochastic processes。 The industrial value of the proposed method has been confirmed by the experimental researches of controlling ultrasonic motors。
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Report
(4 results)
Research Products
(35 results)
