Analysis of finite-time regulation property of biomolecular PI controller
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Control Theory and Technology http://link.springer.com/journal/11768
Analysis of finite-time regulation property of biomolecular PI controller Peng RONG 1 , Takashi NAKAKUKI 2† 1.Major of Interdisciplinary Informatics, Kyushu Institute of Technology, Fukuoka 820-8502, Japan; 2.Department of Intelligent and Control Systems, Kyushu Institute of Technology, Fukuoka 820-8502, Japan Received 30 January 2020; revised 8 May 2020; accepted 9 May 2020
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. Keywords: 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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Introduction
Recent advances in nanotechnology have enabled the realization of practical molecular systems, such as molecular robots [1]. A molecular robot is comprised of a molecular sensor that can receive stimuli from the environment, and a molecular actuator that can act on the environment. As in mechatronics robots, a feedback control system that links information from a molecular sensor to a molecular actuator is required in molecular
robots to achieve practical tasks [2]. It should be noted that information transmission between a molecular sensor/actuator and a feedback circuit must be performed with signaling molecules. Therefore, the concentration of the signaling molecule is the physical quantity that represents the “signal” flowing in the control system [3]. As a result, a control mechanism needs to be designed by molecular computing, and a control circuit needs to be implemented as a biomolecular reaction system. In practical applications of molecular robots, a
† Corresponding author. E-mail: [email protected]. Tel.: +81-948-29-7716; fax: +81-948-29-7709. This work was supported by JSPS KAKENHI (No. 17K06500).
© 2020 South China University of Technology, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature
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P. Rong, T. Nakakuki / Control Theory Tech, Vol. 18, No. 2, pp. 135–142, May 2020
biomolecular controller is required for maintaining the operation of the molecular actuator at a desired condition based on the information from the molecular sensor. This is a so-called regulator, which tries to adj
