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Two-dimensional frequency-domain system identification
Wang,Xiaoyin1; Qian,Tao2; Leong,Iengtak1; Gao,You3
Source PublicationIEEE Transactions on Automatic Control

In this paper, we propose two iterative algorithms to identify transfer functions of two-dimensional (2-D) systems. The proposed algorithms are modifications of the 2-D adaptive Fourier decomposition (AFD) and weak pre-orthogonal adaptive Fourier decomposition (W-POAFD). 2-D AFD and W-POAFD are newly established adaptive representation theories for multivariate functions utilizing, respectively, the product-TM system and the product-Szegö dictionary. The proposed algorithms give rise to rational approximations with real coefficients to transfer functions. Owing to the modified maximal selection principles, the algorithms achieve a fast convergence rate O(n-1/2). To use 2-D AFD and W-POAFD for system identification not only the theory is revised, but also the practical algorithm codes are provided. Experimental examples show that the proposed algorithms give promising results. The theory and algorithms studied in this paper are valid for any n-D case, n ≥ 2.

KeywordGeneralized Partial Backward Shift Operator Matching Pursuit Modified Maximal Selection Principle Multidimensional Rational Approximation Product-szegö Dictionary Product-tm System Two-dimensional (2-d) System Identification
URLView the original
Indexed BySCIE
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000510754000009
Scopus ID2-s2.0-85079770430
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Cited Times [WOS]:11   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorQian,Tao
Affiliation1.Department of Mathematics,Faculty of Science and Technology,University of Macau,999078,Macao
2.Macau Institute of Systems Engineering,Macau University of Science and Technology,999078,Macao
3.School of Mathematics,Sun Yat-sen University,Zhuhai,519000,China
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Wang,Xiaoyin,Qian,Tao,Leong,Iengtak,et al. Two-dimensional frequency-domain system identification[J]. IEEE Transactions on Automatic Control,2020,65(2):577-590.
APA Wang,Xiaoyin,Qian,Tao,Leong,Iengtak,&Gao,You.(2020).Two-dimensional frequency-domain system identification.IEEE Transactions on Automatic Control,65(2),577-590.
MLA Wang,Xiaoyin,et al."Two-dimensional frequency-domain system identification".IEEE Transactions on Automatic Control 65.2(2020):577-590.
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