基于动态补偿器的不确定系统的同步控制  

Synchronization Control of Uncertain Systems Based on Dynamic Compensator

作　　者：陈秀琴[1] 赵娜[1] 李钧涛[2] CHENXiu-qin;ZHAO Na;LI Jun-tao(School of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)

机构地区：[1]信阳职业技术学院数学与计算机科学学院,河南信阳464000 [2]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《控制工程》2020年第9期1509-1512,共4页Control Engineering of China

基　　金：河南省重点科技攻关计划(122102210131)。

摘　　要：针对一类具有不确定性和外部扰动的混沌系统,提出了一种新的同步控制方法。首先,在李亚普诺夫理论和线性矩阵不等式(LMI)技术的基础上,引入一个动态补偿器来设计同步控制器,使得在滑模面上误差系统能够在有限时间内收敛到平衡点。同时通过求解一个线性矩阵不等式,得到了动态补偿器的增益矩阵K。本文设计的控制器结构简单,实现容易,鲁棒性好。最后,基于Matlab软件对Murali-Lakshmannan-Chua系统进行数值模拟,验证了该控制器方法的有效性。In this paper,a new synchronization control method is proposed for a class of chaotic systems with uncertainties and external disturbances.First,on the basis of Lyapunov theory and linear matrix inequality(LMI)technology,a dynamic compensator is introduced to design the synchronization controller,so that the error system on the sliding surface can converge to the equilibrium point in a limited time.At the same time,by solving matrix inequalities,the dynamic compensator gain matrix K is obtained.The controller designed in this paper has simple structure and good robustness and is easy to implement.Finally,based on Matlab,the simulation example of Murali-Lakshmannan-Chua system is given to illustrate the effectiveness of the scheme.

关 键 词：不确定混沌系统 李雅普诺夫理论 线性矩阵不等式 动态补偿器 同步控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]