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arXiv 2012.05643eess.SYcs.SY
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数据驱动学习的控制分析与综合:Kalman状态空间方法

Control Analysis and Synthesis of Data-Driven Learning: A Kalman State-Space Approach

Deyuan Meng

摘要:

本文旨在研究数据驱动学习的控制分析与综合问题,不考虑对象模型未知和迭代变化的不确定性。针对任意目标的跟踪问题,提出了一种Kalman状态空间方法,将其转化为两个鲁棒稳定性问题,从而将数据驱动控制和基于模型的控制联系起来。该方法还使得在数据驱动学习的设计中采用扩展状态观测器(ESO)来克服迭代变化不确定性的影响成为可能。结果表明,基于ESO的数据驱动学习,确保无模型系统,以实现任何期望的目标的跟踪。特别是,我们的结果适用于迭代学习控制,这是由一个例子进行了验证。

英文摘要:

This paper aims to deal with the control analysis and synthesis problem of data-driven learning, regardless of unknown plant models and iteration-varying uncertainties. For the tracking of any desired target, a Kalman state-space approach is presented to transform it into two robust stability problems, which bridges a connection between data-driven control and model-based control. This approach also makes it possible to employ the extended state observer (ESO) in the design of data-driven learning to overcome the effect of iteration-varying uncertainties. It is shown that ESO-based data-driven learning ensures model-free systems to achieve the tracking of any desired target. In particular, our results apply to iterative learning control, which is verified by an example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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