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.

中文翻译：

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同时模式、输入和状态集值观察器以及对稀疏攻击的弹性估计的应用

针对具有有界范数噪声和未知输入信号的隐藏模式切换线性系统，提出了一种同时模式、输入和状态集值观测器。观测器由两个组成部分组成：(i) 一组模式匹配的观测器和 (ii) 模式估计器。每个模式匹配观测器递归地输出兼容状态和未知输入的模式匹配集，而模式估计器使用基于残差的标准消除不兼容模式。然后，估计的状态集和未知输入是所有兼容模式的模式匹配估计的并集。此外，提供了保证消除所有错误模式的充分条件，并使用说明性示例展示了我们方法的有效性。