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Finite Gaussian Mixture Model Based Multimodeling for Nonlinear Distributed Parameter Systems
Xu, Kangkang1; Yang, Haidong1; Zhu, Chengjiu1; Hu, Luoke2
2019-06-19
Source PublicationIEEE Transactions on Industrial Informatics
ISSN1551-3203
Volume16Issue:3Pages:1754-1763
Abstract

Complex nonlinear distributed parameter systems (DPSs) widely exist in real industrial thermal processes. Modeling of such systems often leads to the following challenges: strong nonlinearities, time-varying dynamics, and large operating range with multiple working points. Therefore, traditional single spatiotemporal model will become ill suited. Motivated by the idea of multimodeling, integration of finite Gaussian mixture model (FGMM) and principle component regression (PCR) based multiple spatiotemporal modeling is proposed in this paper for complex nonlinear DPSs. The main idea of the proposed method can be summarized as the following three parts: FGMM-based operating space separation, Karhunen-Loève based local spatiotemporal modeling, and PCR-based local spatiotemporal models integration. To evaluate the generalization bound of the proposed method, the Rademacher complexity is also developed here theoretically. Since multimodeling can reduce the nonlinear complexity, the proposed model has strong ability to track and handle the complex nonlinear dynamics. Simulations on a two-dimensional curing thermal process demonstrated the superior model performance of the proposed model.

KeywordDistributed Parameter Systems (Dpss) Finite Gaussian Mixture Model (Fgmm) Multiple Spatiotemporal Modeling Principle Component Regression (Pcr) Rademacher Complexity
DOI10.1109/TII.2019.2923917
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Computer Science ; Engineering
WOS SubjectAutomation & Control Systems ; Computer Science, Interdisciplinary Applications ; Engineering, Industrial
WOS IDWOS:000510903200029
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC445 HOES LANE, PISCATAWAY, NJ 08855-4141
Scopus ID2-s2.0-85078698832
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Document TypeJournal article
CollectionFaculty of Business Administration
Corresponding AuthorXu, Kangkang
Affiliation1.School of Electromechanical Engineering, Key Laboratory of Mechanical Equipment Manufacturing and Control Technology of Ministry of Education, Guangdong University of Technology, Guangzhou, 510006, China
2.Faculty of Business Administration, University of Macau, 999078, Macao
Recommended Citation
GB/T 7714
Xu, Kangkang,Yang, Haidong,Zhu, Chengjiu,et al. Finite Gaussian Mixture Model Based Multimodeling for Nonlinear Distributed Parameter Systems[J]. IEEE Transactions on Industrial Informatics, 2019, 16(3), 1754-1763.
APA Xu, Kangkang., Yang, Haidong., Zhu, Chengjiu., & Hu, Luoke (2019). Finite Gaussian Mixture Model Based Multimodeling for Nonlinear Distributed Parameter Systems. IEEE Transactions on Industrial Informatics, 16(3), 1754-1763.
MLA Xu, Kangkang,et al."Finite Gaussian Mixture Model Based Multimodeling for Nonlinear Distributed Parameter Systems".IEEE Transactions on Industrial Informatics 16.3(2019):1754-1763.
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