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| Analysis of finite-time regulation property of biomolecular PI controller |
| PengRONG,TakashiNAKAKUKI |
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| (Major of Interdisciplinary Informatics, Kyushu Institute of Technology, Fukuoka 820-8502, Japan;Department of Intelligent and Control Systems, Kyushu Institute of Technology, Fukuoka 820-8502, Japan) |
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| 摘要: |
| In practical applications of dynamic DNA nanotechnology, a biomolecular controller is required for maintaining the operation of the molecular actuator at a desired condition based on the information from molecular sensors. By making use of the DNA strand displacement mechanism as a ``programming language'' in the controller design, a biomolecular PI controller has been proposed. However, this PI control system has been verified only at the simulation level, and a theoretical regulation analysis is still required. Accordingly, in this study, we perform a rigorous regulation analysis of the biomolecular PI control system. Specifically, we theoretically prove that the output signal approaches the target level at a quasi-steady state. To this end, we apply the concept of finite-time regulation property to the biomolecular PI control system. |
| 关键词: Molecular robotics, biomolecular reaction system, PI controller, finite-time regulation property |
| DOI：https://doi.org/10.1007/s11768-020-0017-2 |
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| 基金项目:This work was supported by JSPS KAKENHI (No. 17K06500). |
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| Analysis of finite-time regulation property of biomolecular PI controller |
| Peng RONG,Takashi NAKAKUKI |
| (Major of Interdisciplinary Informatics, Kyushu Institute of Technology, Fukuoka 820-8502, Japan;Department of Intelligent and Control Systems, Kyushu Institute of Technology, Fukuoka 820-8502, Japan) |
| Abstract: |
| In practical applications of dynamic DNA nanotechnology, a biomolecular controller is required for maintaining the operation of the molecular actuator at a desired condition based on the information from molecular sensors. By making use of the DNA strand displacement mechanism as a ``programming language'' in the controller design, a biomolecular PI controller has been proposed. However, this PI control system has been verified only at the simulation level, and a theoretical regulation analysis is still required. Accordingly, in this study, we perform a rigorous regulation analysis of the biomolecular PI control system. Specifically, we theoretically prove that the output signal approaches the target level at a quasi-steady state. To this end, we apply the concept of finite-time regulation property to the biomolecular PI control system. |
| Key words: Molecular robotics, biomolecular reaction system, PI controller, finite-time regulation property |
