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On experiment design for local approach identification of LPV systems ?

机译：关于LPV系统本地方法识别的实验设计 ？

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摘要

The local approach for the estimation of a Linear Parameter-Varying (LPV) model consists in an interpolation of a finite number of Linear Time-Invariant (LTI) systems called local LTI systems. Each local LTI system is obtained by performing an identification experiment at a fixed constant value of the parameter describing the dynamic variation of the LPV model. This parameter is referred in the literature as scheduling variable and the fixed values of the scheduling variable are simply called operating points or scheduling points. In order to improve the accuracy of the local method for the identification of LPV systems, the choice of the scheduling points and the inputs used at each scheduling point for the identification of the local LTI systems is addressed in this paper. To deal with this problem, an accuracy measure is first introduced. This measure is shown to be a linear combination of the classic A-optimality accuracy measure of the local LTI systems. Using this result, an algorithm is finally proposed to solve the experiment design problem.
机译：估计线性参数变化（LPV）模型的局部方法包括对有限数量的线性时不变（LTI）系统进行插值，称为局部LTI系统。每个本地LTI系统都是通过对描述LPV模型动态变化的参数的固定常数进行识别实验来获得的。该参数在文献中称为调度变量，调度变量的固定值简称为工作点或调度点。为了提高局部LPV系统识别方法的准确性，本文讨论了调度点的选择以及每个调度点用于识别本地LTI系统的输入。为了解决这个问题，首先引入了一种精度度量。该度量显示为本地LTI系统经典A最优精度度量的线性组合。利用该结果，最终提出了一种解决实验设计问题的算法。

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