IEEE Trans Nanobioscience. 2021 Jul;20(3):311-322. doi: 10.1109/TNB.2021.3072047. Epub 2021 Jun 30.
The classical proportional integral (PI) controller of SISO linear system is realized by DNA chemical reaction networks (CRNs) in the previous work. Up to now, few works have been done to realize PI controller of chaotic system through DNA CRNs. In this paper, a three-dimensional chaotic oscillatory system and a PI controller of three-dimensional chaotic oscillatory system are proposed by DNA CRNs. The CRNs of chaotic oscillatory system are made up of catalysis modules, degradation module and annihilation module then chemical reaction equations can be compiled into three-dimensional chaotic oscillatory system by the law of mass action to generate chaotic oscillatory signals. The CRNs of PI controller are designed by an integral module, a proportion module and an addition module, which can be compiled into PI controller for stabilizing chaotic oscillatory signals. The simulations of Matlab and Visual DSD are given to show our design achieving the PI control of a three-variable chaotic oscillatory system.
在先前的工作中，通过 DNA 化学反应网络（CRN）实现了 SISO 线性系统的经典比例积分（PI）控制器。到目前为止，很少有工作通过 DNA CRN 来实现混沌系统的 PI 控制器。本文通过 DNA CRN 提出了一个三维混沌振荡系统和一个三维混沌振荡系统的 PI 控制器。混沌振荡系统的 CRN 由催化模块、降解模块和湮灭模块组成，然后通过质量作用定律将化学反应方程编译成三维混沌振荡系统，以产生混沌振荡信号。PI 控制器的 CRN 通过积分模块、比例模块和加法模块进行设计，可以编译成 PI 控制器以稳定混沌振荡信号。给出了 Matlab 和 Visual DSD 的仿真结果，表明我们的设计实现了对三变量混沌振荡系统的 PI 控制。
