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Asymptotic Variance Expressions for Closed-Loop Identification and their Relevance in Identification for Control

机译:闭环辨识的渐近方差表达式及其在控制系统辨识中的相关性

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摘要

Asymptotic variance expressions are analysed for models that are identified on the basis of closed-loop data. The considered methods comprise the classical "direct" and "indirect" method, as well as the more recently developed indirect methods, employing coprime factorized models and model parametrizations based on the dual Youla/Kucera parametrization. The variance expressions are compared with the open-loop situation, and evaluated in terms of their relevance for subsequent model-based control design. Additionally it is specified what is the optimal experimental situation in identification (open-loop or closed-loop), in view of the variance of the resulting model-based controller.
机译:分析基于闭环数据识别的模型的渐近方差表达式。考虑的方法包括经典的“直接”和“间接”方法,以及最近开发的间接方法,这些方法采用了互质因式分解模型和基于双重Youla / Kucera参数化的模型参数化。将方差表达式与开环情况进行比较,并根据其与后续基于模型的控制设计的相关性进行评估。此外,考虑到最终基于模型的控制器的差异,指定了识别(开环或闭环)的最佳实验情况。

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