| Presentation | 2014-03-11 Stabilization control of unknown unstable periodic orbits utilizing OPF method Viet Hung NGUYEN, Takumi HASEGAWA, Tadashi TSUBONE, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we consider a control method of chaos in engineering systems. The aim of chaos control is to stabilize unstable periodic orbits embedded in chaotic attractors. In many cases, detecting the unstable periodic orbits of a practical system is a difficult task. The detection method called Stability Transformation Method has been proposed. Previously, we proposed a stabilization method of unknown unstable periodic orbits based on stability transformation method. However, the application range of this approach has been restricted since state variables are discontinuous. In this study, we propose a stabilization control method of unknown unstable periodic orbits without making state variables discontinuous by utilizing the Occasional Proportional Feedback method. The stability of the control system is theoretically analyzed. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Chaos control / Occasional Proportional Feedback method / Stability Tranformation Method / Unknown Unstable Periodic Orbit |
| Paper # | NLP2013-187 |
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| Committee | NLP |
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| Conference Date | 2014/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stabilization control of unknown unstable periodic orbits utilizing OPF method |
| Sub Title (in English) | |
| Keyword(1) | Chaos control |
| Keyword(2) | Occasional Proportional Feedback method |
| Keyword(3) | Stability Tranformation Method |
| Keyword(4) | Unknown Unstable Periodic Orbit |
| 1st Author's Name | Viet Hung NGUYEN |
| 1st Author's Affiliation | Nagaoka University of Technology() |
| 2nd Author's Name | Takumi HASEGAWA |
| 2nd Author's Affiliation | Nagaoka University of Technology |
| 3rd Author's Name | Tadashi TSUBONE |
| 3rd Author's Affiliation | Nagaoka University of Technology |
| Date | 2014-03-11 |
| Paper # | NLP2013-187 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |