Delta算子框架下混沌系统的鲁棒滑模同步控制  

Robust Sliding Mode Synchronization Control of Chaotic System in Delta Operator Framework

作　　者：李惠 郑柏超[1,2] 吴跃文 LI Hui;ZHENG Bochao;WU Yuewen(School of Automation,Nanjing University of Information Science and Technology,Nanjing 210000,China;Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology,Nanjing 210000,China)

机构地区：[1]南京信息工程大学自动化学院,南京210000 [2]江苏省大气环境与装备技术协同创新中心,南京210000

出　　处：《电光与控制》2022年第7期37-42,68,共7页Electronics Optics & Control

基　　金：国家自然科学基金(61973169);江苏省自然科学基金(BK 20201392)。

摘　　要：针对DoS(Denial of Service)攻击和网络故障下的非线性耦合混沌系统,提出了一种Delta算子框架下鲁棒滑模同步控制方法。首先,对于连续时间和离散时间的非线性耦合混沌系统,依据Delta算子理论,建立Delta算子框架下的统一模型;其次,对提出的Delta算子混沌同步误差系统设计线性滑模面,并利用线性矩阵不等式(LMI)方法给出滑模面存在的充分条件;再次,对上述同步误差系统设计滑模控制器,使之能够在有限时间内快速到达滑模面,实现非线性耦合混沌系统的渐近同步;最后,仿真算例结果表明在所设计的控制器下,同步误差趋于零,实现渐近同步,说明了所提方法的可行性和有效性。A robust sliding mode synchronization control method under the Delta operator framework is proposed for nonlinear chaotic systems under DoS attack and network failure.Firstlybased on the Delta operator theorya unified model for continuous and discrete time nonlinear chaotic systems under the Delta operator framework is established.Secondlythe corresponding linear sliding mode surface is designed for the Delta operator chaotic synchronization error systemand the sufficient conditions for the existence of the sliding mode surface are given by using the Linear Matrix Inequality(LMI)method.Thirdlythe sliding mode controller is designed for the synchronization error systemso that it can reach the sliding mode surface quickly in finite time and realize the asymptotic synchronization of the nonlinear chaotic system.Finallythe simulation results show that under the designed controllerthe synchronization error tends to zero and the asymptotic synchronization is realizedwhich shows the feasibility and effectiveness of the proposed method.

关 键 词：混沌系统 滑模控制(SMC) DELTA算子系统 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]