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基于模糊逆的磁悬浮系统自适应控制

Adaptive control of magnetic levitation system based on fuzzy inversion.

作者信息

Jastrzębski Marcin, Kabziński Jacek

机构信息

Institute of Automatic Control, Lodz University of Technology, 18 Stefanowskiego St, Lodz, 90-537, Poland.

出版信息

Sci Rep. 2024 Oct 22;14(1):24815. doi: 10.1038/s41598-024-76067-9.

Abstract

A novel adaptive tracking controller for magnetic levitation systems (MLS) is developed. The controller is based on a special adaptive control scheme incorporating fuzzy model of electromagnetic acceleration enabling fast and accurate fuzzy inversion. The controller ensures accurate tracking of any smooth desired position signal, despite unknown MLS parameters. The closed-loop system stability, in the sense of uniform ultimate boundedness (UUB) of error trajectories, is proved using Lyapunov approach. The closed-loop system performance is investigated during numerical experiments. Finally the proposed controller is verified by successful implementation on a DSP board controlling a typical magnetic levitation ball system. Performed tests and experiments demonstrate that the proposed control technique is robust against discretization and unknown MLS model parameters, provides high tracking accuracy, is easily implementable, and simple to tune.

摘要

开发了一种用于磁悬浮系统(MLS)的新型自适应跟踪控制器。该控制器基于一种特殊的自适应控制方案,该方案结合了电磁加速度的模糊模型,能够实现快速准确的模糊反演。尽管MLS参数未知,该控制器仍能确保精确跟踪任何平滑的期望位置信号。利用李雅普诺夫方法证明了闭环系统在误差轨迹一致最终有界(UUB)意义下的稳定性。在数值实验中研究了闭环系统的性能。最后,通过在控制典型磁悬浮球系统的DSP板上成功实现,验证了所提出的控制器。所进行的测试和实验表明,所提出的控制技术对离散化和未知的MLS模型参数具有鲁棒性,具有高跟踪精度,易于实现且易于调整。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d42/11496557/83cd42543815/41598_2024_76067_Fig1_HTML.jpg

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