Robust identification from band-limited data
Robust identification from band-limited data
复制标题
从带限数据中进行稳健识别
DOI：
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复制
发表时间：
1997
影响因子：
6.8
通讯作者：
N. Torkhani
中科院分区：
文献类型：
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作者：
L. Baratchart;J. Leblond;J. Partington;N. Torkhani
考虑从带宽内的频率处的逐点测量识别标量有界输入/有界输出稳定传递函数的问题。我们提出了一个算法，它包括建立一个序列的映射从数据到模型收敛到传递函数的带宽上的测量的数量趋于无穷大，噪声水平为零，并渐近满足一些规范约束外。误差界的推导，并说明了数值实验的过程。
Consider the problem of identifying a scalar bounded-input/bounded-output stable transfer function from pointwise measurements at frequencies within a bandwidth. We propose an algorithm which consists of building a sequence of maps from data to models converging uniformly to the transfer function on the bandwidth when the number of measurements goes to infinity, the noise level to zero, and asymptotically meeting some gauge constraint outside. Error bounds are derived, and the procedure is illustrated by numerical experiments.