论文标题
同时模式,输入和状态设置值观察者,并具有针对稀疏攻击的弹性估算的应用
Simultaneous Mode, Input and State Set-Valued Observers with Applications to Resilient Estimation Against Sparse Attacks
论文作者
论文摘要
为隐藏模式开关的线性系统提出了同时的模式,输入和状态设置值观察者,该系统具有有界 - 标准噪声和未知输入信号。观察者由两个成分组成:(i)一组模式匹配的观察者和(ii)模式估计器。每个模式匹配的观察者递归地输出兼容状态和未知输入的模式匹配集,而模式估计器则使用基于残差的标准消除了不兼容的模式。然后,估计的一组状态和未知输入集是所有兼容模式的模式匹配估计值的结合。此外,提供了足够的条件,以确保消除所有虚假模式,并使用一个说明性示例来展示我们的方法的有效性。
A simultaneous mode, input and state set-valued observer is proposed for hidden mode switched linear systems with bounded-norm noise and unknown input signals. The observer consists of two constituents: (i) a bank of mode-matched observers and (ii) a mode estimator. Each mode-matched observer recursively outputs the mode-matched sets of compatible states and unknown inputs, while the mode estimator eliminates incompatible modes, using a residual-based criterion. Then, the estimated sets of states and unknown inputs are the union of the mode-matched estimates over all compatible modes. Moreover, sufficient conditions to guarantee the elimination of all false modes are provided and the effectiveness of our approach is exhibited using an illustrative example.