2007 Fiscal Year Final Research Report Summary
Analysis and Synthesis of Control Systems via Randomized Algorithms
| Project/Area Number |
17560395
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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 | Kobe University |
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Principal Investigator |
FUJISAKI Yasumasa Kobe University, Graduate & School of Engineering, Associate Professor (30238555)
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| Co-Investigator(Kenkyū-buntansha) |
OISHI Yasuaki Nanzan University, Faculty of Mathematical Sciences and Information Engineering, Associate Professor (80272392)
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| Project Period (FY) |
2005 – 2007
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| Keywords | Control Engineering / Systems Eneineerin / Mathematical Engineering / Algorithm / Modeling |
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| Research Abstract |
Randomized algorithms are recently recognized as viable tools for control systems design. In fact, in this research field, more and more complex problems arise, and probabilistic approach gives efficient algorithms to solve these problems. For example, robust optimal control is recast as a global optimization in general, where the size of the problem is quite large due to uncertainty contained in systems. Thus, to solve it within a reasonable time is very difficult via deterministic algorithms, which is known as the curse of dimensionality. On the other hand, algorithms based on random sampling of uncertainties enables us to obtain a probabilistic solution, without heavy computational effort, though a certain risk-level should be accepted.
In this research project, analysis and synthesis of control systems via randomized algorithms are further investigated, which leads to a novel framework of control systems theory. In particular the following important results are obtained.
(i) Randomized Algorithms for Analysis and Synthesis of Control Systems: Specific randomized algorithms are developed for probabilistic design of guaranteed cost regulator, fixed order controller, and switched systems.
(ii) Characterizations of Randomized Algorithms in Control: Fundamental procedures of randomized algorithms are investigated for typical control problems with multiple constraints and/or nonconvex constraints, in particular, constraints described ed by a logical sum of convex constraints.
(iii) Related Applications: The approach is further applied to a robust identification, where the size of the membership set is estimated probabilistically in the presence of disturbance and parameter uncertainty.
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Research Products
(41 results)
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[Presentation] 切換制御系の確率的設計2006
Author(s)
和田孝之, 藤崎泰正
Organizer
計測自動制御学会第6回制御部門大会
Place of Presentation
名古屋
Year and Date
2006-05-31
Description
「研究成果報告書概要(和文)」より
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