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Mathematics > Optimization and Control

arXiv:2108.10611 (math)
[Submitted on 24 Aug 2021]

Title:A novel, Fourier series based method of control optimization and its application to a discontinuous capsule drive model

Authors:Sandra Zarychta, Tomasz Sagan, Marek Balcerzak, Artur Dabrowski, Andrzej Stefanski, Tomasz Kapitaniak
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Abstract:This paper presents a novel, Fourier series based numerical method of open-loop control optimization. Due to its flexible assumptions, it can be applied in a large variety of systems, including discontinuous ones or even so-called black boxes, whose equations are not fully known. This aspect is particularly important in mechanical systems, where friction or impact induced discontinuities are common. The paper includes a mathematical background of the new method, a detailed discussion of the algorithm and a numerical example, in which control function of a discontinuous capsule drive is optimized. It is expected that the proposed method can facilitate research in all areas where control of non-smooth, discontinuous or black box systems is crucial. In particular, authors hope that the presented algorithm is going to be used for control optimization of other capsule drives.
Comments: 22 pages, 7 figures; submitted to International Journal of Mechanical Sciences; research data available over Mendeley Data, V1, doi: https://doi.org/10.17632/9r4rkmmfzf.1
Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)
Cite as: arXiv:2108.10611 [math.OC]
  (or arXiv:2108.10611v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2108.10611
Journal reference: International Journal of Mechanical Sciences, 2022, 107104, ISSN 0020-7403
Related DOI: https://doi.org/10.1016/j.ijmecsci.2022.107104

Submission history

From: Marek Balcerzak [view email]
[v1] Tue, 24 Aug 2021 09:55:41 UTC (581 KB)
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