Unbiased Inversion-Based Fault Estimation of Systems with Non-Minimum Phase Fault-to-Output Dynamics
Unbiased Inversion-Based Fault Estimation of Systems with Non-Minimum Phase Fault-to-Output Dynamics
复制标题
具有非最小相位故障到输出动态的系统的基于无偏反演的故障估计
DOI：
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发表时间：
2016
影响因子：
2.6
通讯作者：
K. Khorasani
中科院分区：
文献类型：
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作者：
E. Naderi;K. Khorasani
我们提出了一个框架，反演为基础的估计某些类别的故障在离散时间线性系统。将故障信号作为未知输入，通过其在两个子空间上的投影重构故障信号。一个投影是通过代数运算实现的，而另一个是由一个动态滤波器，其极点与系统的传输零点重合。然后引入反馈以稳定上述滤波器以及提供未知输入的无偏估计。我们的解决方案有两个独特而实用的优势。首先，它代表了一个统一的方法来反演问题的最小和非最小相位系统，以及系统的传输零点上的单位圆。第二，反馈结构使得所提出的方案对噪声具有鲁棒性。我们已经表明，建议的反演滤波器是无偏的某些类别的故障。最后，我们通过大量的模拟研究说明了我们提出的方法的性能。
We propose a framework for inversion-based estimation of certain categories of faults in discrete-time linear systems. The fault signal, as an unknown input, is reconstructed from its projections onto two subspaces. One projection is achieved through an algebraic operation, whereas the other is given by a dynamic filter whose poles coincide with the transmission zeros of the system. A feedback is then introduced to stabilize the above filter as well as to provide an unbiased estimate of the unknown input. Our solution has two distinctive and practical advantages. First, it represents a unified approach to the problem of inversion of both minimum and non-minimum phase systems as well as systems having transmission zeros on the unit circle. Second, the feedback structure makes the proposed scheme robust to noise. We have shown that the proposed inversion filter is unbiased for certain categories of faults. Finally, we have illustrated the performance of our proposed methodologies through numerous simulation studies.