Pole placement in uncertain dynamic systems by variance minimisation
Pole placement in uncertain dynamic systems by variance minimisation
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DOI：
10.1016/j.ymssp.2019.03.007
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发表时间：
2019-07
影响因子：
8.4
通讯作者：
Liam J. Adamson;S. Fichera;Bilal Mokrani;J. Mottershead
中科院分区：
文献类型：
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作者：
Liam J. Adamson;S. Fichera;Bilal Mokrani;J. Mottershead
使用全局优化方法解决了具有不确定性的动态系统中的极点配置问题。考虑了名义上相同的系统之间由制造公差、磨损和环境变化引起的变异性。在所提出的方法中，接收是从随机选择的开环标称系统之一测量的。在这种情况下，除了参数均值的可变性之外，参数均值也是随机的。然后使用接收方法来放置被测系统的极点，使得由于参数不确定性而导致的极点分布最小化。用于评估分布的度量是方差，由多项式混沌展开有效确定。该方法的优点包括：(i) 由于使用了实验接收，因此无需对系统进行建模；(ii) 无需测量平均系统；(iii) 通过使用方差在整个范围内量化极点的不确定性。提供了数值和实验示例来说明所提出方法的工作原理。
The problem of pole placement in dynamic systems with uncertainties is addressed using a global optimisation approach. Variability between nominally identical systems, which arises from manufacturing tolerances, wear and environmental variability, is considered. In the proposed method, receptances are measured from one of the open-loop, nominal systems chosen at random. In this case, in addition to the variability about the parameter means, the parameter means are also random. The receptance method is then used to place the poles of the measured system such that their spread, due to parameter uncertainty, is minimised. The measure used to assess the spread is the variance, determined efficiently by a polynomial chaos expansion. Among the advantages of the method are: (i) there is no requirement to model the system since experimental receptances are used, (ii) it is not necessary to measure the mean system, and (iii) uncertainty in poles is quantified across its full range by using variances. Numerical and experimental examples are provided to illustrate the working of the proposed method.