Modified High-Order SVD for Spatiotemporal Modeling of Distributed Parameter Systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 4296-4304 |
Number of pages | 9 |
Journal / Publication | IEEE Transactions on Industrial Electronics |
Volume | 69 |
Issue number | 4 |
Online published | 3 May 2021 |
Publication status | Published - Apr 2022 |
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Abstract
Modeling high-spatial dimensional (high-D) distributed parameter systems (DPSs) is very difficult because of the spatially distributed characteristic and complex spatiotemporal coupling. In this paper, a new framework based on high-order singular vector decomposition (HOSVD) is proposed to model high-D DPS. A modified HOSVD is designed for separation of time and multiple spatial variables. It can well preserve the spatially distributed nature of high-D DPS. It also considers the interaction across different spatial modes, which is an important part of spatiotemporal coupling in high-D DPS. Experiments of a two-spatial dimensional thermal curing process are used to verify the effectiveness of the proposed method. An average prediction error near 1% of the curing temperature can be achieved.
Research Area(s)
- Couplings, Curing, Distributed parameter system, Finite element analysis, Frequency division multiplexing, high-spatial dimensional, Mathematical model, modified HOSVD, Spatiotemporal phenomena, Tensors, time-space separation
Citation Format(s)
Modified High-Order SVD for Spatiotemporal Modeling of Distributed Parameter Systems. / Chen, Liqun; Li, Han-Xiong; Xie, Shengli.
In: IEEE Transactions on Industrial Electronics, Vol. 69, No. 4, 04.2022, p. 4296-4304.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review