Proportional-Integral-Derivative Control of Four-Variable Chaotic Oscillatory Circuit Based on DNA Strand Displacement

2021 ◽  
Vol 16 (4) ◽  
pp. 612-623
Author(s):  
Xiaoyu An ◽  
Zijie Meng ◽  
Yanfeng Wang ◽  
Junwei Sun

DNA molecular computing based on DNA strand displacement (DSD) technology is a potential computing model. Different functions can be realized by constructing DNA strand displacement analog circuit and analyzing its dynamic characteristics. In this paper, exploiting chemical reaction networks (CRNs) as the middle layer, a new chaotic oscillation circuit is constructed via DNA strand displacement and controlled by PID controller. The design of four-variable chaotic oscillatory circuit requires the combination and cascade by five DNA reaction modules. Based on the theory of stability and design principle of controller, the proportion terms, integration terms, and differentiation terms are added to chaotic oscillatory circuit for implementing PID controller. PID controller is implemented by five DNA reaction modules to stabilize the chaotic oscillation circuit. The validity of reaction modules circuit with their corresponding DSD reaction modules and controller is verified by visual DSD and Matlab. The PID controller may have better performance than PI controller, and it is an extension of PI controller.

2015 ◽  
Vol 12 (9) ◽  
pp. 2318-2321 ◽  
Author(s):  
Ming Song ◽  
Yanchai Wang ◽  
Minghui Li ◽  
Yafei Dong

2021 ◽  
Vol 2026 (1) ◽  
pp. 012040
Author(s):  
Jing Yang ◽  
Xue Pang ◽  
Zhen Tang ◽  
Xinmu Yang ◽  
Congcong Liu

2017 ◽  
Vol 7 (1) ◽  
pp. 46-53 ◽  
Author(s):  
Tianqi Song ◽  
Sudhanshu Garg ◽  
Reem Mokhtar ◽  
Hieu Bui ◽  
John Reif

2015 ◽  
Vol 137 (44) ◽  
pp. 14107-14113 ◽  
Author(s):  
Dongbao Yao ◽  
Tingjie Song ◽  
Xianbao Sun ◽  
Shiyan Xiao ◽  
Fujian Huang ◽  
...  

2016 ◽  
Vol 138 (42) ◽  
pp. 14076-14082 ◽  
Author(s):  
Xiaolong Yang ◽  
Yanan Tang ◽  
Sarah M. Traynor ◽  
Feng Li

Nature ◽  
2011 ◽  
Vol 475 (7356) ◽  
pp. 368-372 ◽  
Author(s):  
Lulu Qian ◽  
Erik Winfree ◽  
Jehoshua Bruck

2013 ◽  
Vol 49 (85) ◽  
pp. 9953 ◽  
Author(s):  
Wei Ding ◽  
Wei Deng ◽  
Hong Zhu ◽  
Haojun Liang

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