This paper addresses the problem of outlier detection and trimmed-average state estimation in an LTI network system. We consider that only some states are measured and there exists an outlier among the unmeasured states, which is so different from the remaining states that it affects the average value significantly. The goal of this paper is both to detect the outlier and to estimate the average state excluding the outlier (trimmed-average). Moreover, we also investigate the case where the system matrices are partially unknown since the outlier results from an unknown localized fault in the system. Finally, we illustrate the method on a thermal diffusion system.

本文解决了LTI网络系统中离群值检测和平均平均状态估计的问题。我们认为只有一些状态被测量，未测量状态之间存在离群值，这与其余状态有很大不同，以至于它会显着影响平均值。本文的目标是检测异常值并估计排除异常值的平均状态（修整平均值）。此外，我们还调查了由于局部异常是由系统中的未知局部故障引起的，因此系统矩阵部分未知的情况。最后，我们说明了在热扩散系统上的方法。