耦合自催化化学反应系统的反同步控制  

Anti-synchronization control of coupled autocatalytic chemical reaction system

作　　者：张晓芳[1] 李勇[1] 毕勤胜[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2009年第4期424-427,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(20476041)

摘　　要：基于Lyapunov稳定性理论和反同步思想,讨论了两个连续搅拌槽式反应器组成的化学反应体系的反同步控制问题.将整个反应系统中各成分的浓度设定为控制目标,通过选取适当的控制器和控制输入信号可以使其处于某种状态.该方法对系统无特殊要求,并且无需构造Lyapunov函数.最后用数值模拟验证了方法的有效性,同时结果表明反应误差系统存在两种不同的时间尺度.Based on Lyapunov stability theory as well as the concept of anti-synchronization, the anti-synchronization control on chemical reaction system composed of two CSTRs is investigated. The concentration of the components in the reaction system is set for control aim, which can be controlled in certain state by adjusting the suitable controller and input signal. No special request for the system is introduced in the scheme. Especially, no Lyapunov function needs to be established. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed method, and it shows that two different time scales exist in reaction error system.

关 键 词：反同步控制 化学反应 连续搅拌槽式反应器 反应误差 混沌 

分 类 号：O322[理学—一般力学与力学基础]