2001 Fiscal Year Final Research Report Summary
Development of modeling and control analysis of jumpless hybrid systems
| Project/Area Number |
11650449
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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 | Tokyo Institute of Technology (2001)
Hiroshima University (1999-2000) |
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Principal Investigator |
IMURA Jun-ichi Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Associate Professor, 大学院・情報理工学研究科, 助教授 (50252474)
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| Co-Investigator(Kenkyū-buntansha) |
SAEKI Masami Faculty of Engineering Hiroshima University, Professor, 工学部, 教授 (60144325)
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| Project Period (FY) |
1999 – 2001
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| Keywords | hybrid systems / well-posedness / piecewise affine system / stabilization / switch |
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| Research Abstract |
The purpose of this research project is to develop a series of system control theory from modeling to control for a class of hybrid systems, i.e., piecewise affine systems with no jump phenomena. The result is as follows : first, we have proposed a new concept of discrete transition rule, named switch-based transition rule by regarding the discrete state of the piecewise affine system as 0-1 switches. This rule corresponds to an idealization of switching phenomena with time-delays. Next, we have presented a definition of solutions and well-posedness of such systems, and then a characterization of well-posed systems. This approach gives a basis of the well-posedness analysis even for more general class of hybrid systems. Third, the concept of feedback well-posedness has been proposed and a necessary and sufficient condition for the bimodal system to be rendered well-posed via state feedback, which is a necessary condition for stabilizability. Furthermore, based on this feedback well-posedness analysis, we have derived a canonical form of all feedback well-posed bimodal systems to obtain a sufficient condition for the system to be stabilizable. Finally we have proposed a stabilization method of bimodal systems and 4-modal systems, which shows that the control problem of some class of piecewise affine systems can be reduced to that of the usual linear systems by some feedback transformation.
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Research Products
(11 results)
