Simultaneous Input and State Set-Valued Observers with Applications to Attack-Resilient Estimation
Simultaneous Input and State Set-Valued Observers with Applications to Attack-Resilient Estimation
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同时输入和状态集值观测器及其在抗攻击估计中的应用
DOI：
10.23919/acc.2018.8431052
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Sze Zheng Yong
中科院分区：
文献类型：
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作者：
Sze Zheng Yong
在本文中，我们提出了一个固定阶集值观测器的线性离散时间有界误差系统，同时找到有界的相容状态和未知输入的最小$\mathcal{H}_{\infty}$-范数意义下的最优，即，具有最小平均功率放大。我们还分析了观测器的稳定性的必要条件和充分条件，以及它与强可检测性系统属性的关系。接下来，我们表明，所提出的集值观测器可用于攻击弹性估计的状态和攻击信号时，网络物理系统受到虚假数据注入攻击的执行器和传感器信号。此外，我们还讨论了强可检测性对弹性状态估计和攻击识别的影响。最后，我们的集值观测器的有效性证明在仿真中，包括IEEE 14节点电力系统。
In this paper, we present a fixed-order set-valued observer for linear discrete-time bounded-error systems that simultaneously finds bounded sets of compatible states and unknown inputs that are optimal in the minimum $\mathcal{H}_{\infty}$-norm sense, i.e., with minimum average power amplification. We also analyze the necessary and sufficient conditions for the stability of the observer and its connection to a system property known as strong detectability. Next, we show that the proposed set-valued observer can be used for attack-resilient estimation of state and attack signals when cyber-physical systems are subject to false data injection attacks on both actuator and sensor signals. Moreover, we discuss the implication of strong detectability on resilient state estimation and attack identification. Finally, the effectiveness of our set-valued observer is demonstrated in simulation, including on an IEEE 14-bus electric power system.