A secure state estimation algorithm for nonlinear systems under sensor attacks
A secure state estimation algorithm for nonlinear systems under sensor attacks
复制标题
传感器攻击下非线性系统的安全状态估计算法
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
J. Hespanha
中科院分区：
文献类型：
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作者：
Michelle S. Chong;H. Sandberg;J. Hespanha
本文研究了连续时间非线性系统的状态估计问题，其中传感器输出的子集可以通过注入潜在的无界加性信号来恶意控制。类似于我们在[1]中对连续时间线性系统所做的工作，我们将存在传感器攻击时估计向真实状态的收敛称为在M个攻击下的可观测性，其中M是指攻击者可以访问的传感器的数目。与线性情形不同，我们只给出了一个充分条件，使得非线性系统在M攻击下是能观测的。该条件要求存在渐近观测器，该观测器对攻击信号在输入-状态稳定意义下是鲁棒的。我们证明了一种从一组观测器产生的状态估计中选择相容状态估计的算法实现了渐近状态重构。为一类非线性系统设计具有良好鲁棒性的状态观测器提供了一种构造性方法。说明了本研究对配电网安全运行监测的意义。
The state estimation of continuous-time nonlinear systems in which a subset of sensor outputs can be maliciously controlled through injecting a potentially unbounded additive signal is considered in this paper. Analogous to our earlier work for continuous-time linear systems in [1], we term the convergence of the estimates to the true states in the presence of sensor attacks as ‘observability under M attacks’, where M refers to the number of sensors which the attacker has access to. Unlike the linear case, we only provide a sufficient condition such that a nonlinear system is observable under M attacks. The condition requires the existence of asymptotic observers which are robust with respect to the attack signals in an input-to-state stable sense. We show that an algorithm to choose a compatible state estimate from the state estimates generated by a bank of observers achieves asymptotic state reconstruction. We also provide a constructive method for a class of nonlinear systems to design state observers which have the desirable robustness property. The relevance of this study is illustrated on monitoring the safe operation of a power distribution network.