Matrix rank minimization algorithm for control system design
| Project/Area Number |
24760342
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Control engineering
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| Research Institution | Kogakuin University |
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Principal Investigator |
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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 |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 行列ランク最小化 / スパース最適化 / 制御系設計 / システム同定 / 圧縮センシング |
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| Outline of Final Research Achievements |
This work dealt an algorithm for the matrix rank minimization problem, which is NP hard in general while it has a lot of applications, and has proposed null space based alternating optimization (NSAO) algorithm and iterative partial matrix shrinkage (IPMS) algorithm. Numerical examples show that both algorithms provide low-rank solutions efficiently and that IPMS algorithm can be applied to huge size problems.
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Report
(4 results)
Research Products
(14 results)
