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 journalpeer-review

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Original languageEnglish
Pages (from-to)4296-4304
Number of pages9
Journal / PublicationIEEE Transactions on Industrial Electronics
Issue number4
Online published3 May 2021
Publication statusPublished - Apr 2022


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