引用本文:刘坤,张淇瑞,郭航,刘涛,夏元清.隐蔽式攻击下的离散系统区间观测器设计[J].控制理论与应用,2020,37(8):1673~1680.[点击复制]
LIU Kun,ZHANG Qi-rui,GUO Hang,LIU Tao,XIA Yuan-qing.Interval observer design of discrete-time systems under stealthy attacks[J].Control Theory and Technology,2020,37(8):1673~1680.[点击复制]
隐蔽式攻击下的离散系统区间观测器设计
Interval observer design of discrete-time systems under stealthy attacks
摘要点击 2514  全文点击 907  投稿时间:2019-07-25  修订日期:2020-01-15
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DOI编号  10.7641/CTA.2020.90618
  2020,37(8):1673-1680
中文关键词  隐蔽式攻击  区间观测器  网络化控制系统
英文关键词  stealthy attacks  interval observer  networked control system
基金项目  国家自然科学基金项目(61873034), 北京市自然科学基金项目(4182057), 北京市智能物流系统协同创新中心开放课题(BILSCIC–2019KF–13), 北京理工大学研究生创新项目(2019CX20031)资助.
作者单位E-mail
刘坤 北京理工大学 kunliubit@bit.edu.cn 
张淇瑞 北京理工大学  
郭航 北京理工大学  
刘涛* 北京物资学院 liutao19832001@163.com 
夏元清 北京理工大学  
中文摘要
      本文研究了隐蔽式攻击下的网络化控制系统的安全估计问题. 首先, 根据攻击保持隐蔽的条件, 得到了攻 击信号的上界和下界. 其次, 基于边界信息设计了一类原坐标系下的区间观测器, 并进一步通过坐标变换放宽增益 矩阵的设计条件, 给出了变换下的区间观测器设计方法. 然后, 提出了基于H1滤波理论计算隐蔽式攻击下的最优 观测器增益的方法, 并通过求解线性矩阵不等式获得最优增益矩阵. 最后, 通过仿真算例验证了所提方法的有效性.
英文摘要
      This paper investigates the security estimation of networked control system under stealthy attacks. Firstly, the upper and lower bounds of the attack signals are obtained according to the condition that the attacks remain stealthy. Secondly, based on the bounds of the attacks, an interval observer is designed in the original coordinates. Furthermore, the design conditions of the gain matrix are relaxed by a transformation of coordinates, and the design method of this interval observer is given. Then, an approach is proposed to calculate the optimal observer gain based on the theory of H1 filtering, and the optimal gain matrix is obtianed by solving a linear matrix inequality. Finally, a numerical example is given to verify the effectiveness of the proposed method.