隐蔽攻击下线性离散切换系统的区间观测器设计  

Interval observer design for linear discrete switched systems under stealthy attacks

作　　者：周颖 朱伟 肖敏 ZHOU Ying;ZHU Wei;XIAO Min(College of Automation&College of Artificial Intelligence,Nanjing University of Posts and Telecommunications,Nanjing 210023,China)

机构地区：[1]南京邮电大学自动化学院、人工智能学院,江苏南京210023

出　　处：《南京邮电大学学报（自然科学版）》2023年第6期70-78,共9页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(62073172)资助项目。

摘　　要：为解决网络控制系统中状态安全估计问题,研究了线性离散切换系统在隐蔽攻击下区间观测器的设计问题。首先依据隐蔽攻击的条件,得到攻击信号的边界估计。其次针对切换系统构造出能分别估计状态上界和下界的区间观测器。将系统受到的有界干扰与攻击向量视为增广状态变量,构造出增广系统。在满足平均驻留时间条件约束下,采用Lyapunov函数方法,设计出系统切换律,使得切换系统全局指数稳定并满足鲁棒加权H∞性能指标。然后求解线性矩阵不等式,得到切换系统区间观测器参数及增益矩阵,从而有效地获得系统状态边界估计。最后给出的仿真结果表明该区间观测器设计的有效性。In order to solve the problem of state security estimation in networked control systems,this paper designs an interval observer for linear discrete switched systems under stealthy attacks.Firstly,the boundary estimation of attack signals is obtained according to the condition of stealthy attacks.Secondly,an interval observer which can estimate the upper and the lower bounds of the state is constructed for the switched system.An augmented system is constructed by treating the bounded interference and attack vectors as augmented state variables.Under the condition that the average dwell time is satisfied,the switching law of the system is designed by using the Lyapunov function method.Thus,the switched system can retain the global exponential stability and meet the robust weighted H∞performance index.Thirdly,by solving the linear matrix inequality,the parameters of the interval observer and the gain matrix of the switched system are obtained,and the system state boundary estimation is obtained effectively.Finally,the simulation results show that the design of the interval observer is effective.

关 键 词：区间观测器 隐蔽攻击 切换系统 平均驻留时间 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]