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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)
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
基金项目:This work was supported by JSPS KAKENHI (No. 17K06500).
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