Global System Errors to Simultaneously Improve the Identification of Subsystems with Mixed Data Gaussian Process Regression

Cameron J LaMack, Eric M. Schearer
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Abstract

This paper explores the use of Gaussian Process Regression (GPR) for system iden- tification in control engineering. It introduces two novel approaches that utilize the data from a measured global system error. The paper demonstrates these approaches by identifying a simulated system with three subsystems, a one degree of freedom mass with two antagonist muscles. The first approach uses this whole-system error data alone, achieving accuracy on the same order of magnitude as subsystem-specific data (9.28 ± 0.87 N vs. 6.96 ± 0.32 N of total model errors). This is significant, as it shows that the same data set can be used to identify unique subsystems, as op- posed to requiring a set of data descriptive of only a single subsystem. The second approach demonstrated in this paper mixes traditional subsystem-specific data with the whole system error data, achieving up to 98.71% model improvement.
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利用混合数据高斯过程回归同时改进子系统识别的全局系统误差
本文探讨了在控制工程中使用高斯过程回归(GPR)进行系统识别的问题。论文介绍了两种利用全局系统误差测量数据的新方法。本文通过识别一个具有三个子系统的模拟系统(一个具有两个拮抗肌的单自由度质量)来演示这些方法。第一种方法仅使用全系统误差数据,就达到了与特定子系统数据相同数量级的精度(9.28 ± 0.87 N 对 6.96 ± 0.32 N 的总模型误差)。这一点意义重大,因为它表明同一数据集可用于识别独特的子系统,而不需要仅描述单一子系统的数据集。本文展示的第二种方法将传统的特定子系统数据与整个系统误差数据相结合,实现了高达 98.71% 的模型改进。
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