American Journal of Computer Science and Technology

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A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln

Received: 09 November 2018    Accepted: 20 December 2018    Published: 22 January 2019
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Abstract

In this paper, a problem in engineering area which the output variables are not corresponding to input variables is presented. To improve it, a kind of method to the identification and modeling of a common linear state system with delay factor are studied. The domain of this system with time-delay factor is transformed from the time-domain to the frequency-domain firstly, and then the subspace identification model with the hiding delay factor is constructed by using the data of frequency domain response. The coefficient matrix of the constructed model is identified by using the principal component analysis. And the engineering system can be modeled by knowing the state matrices in time domain which can be extracted from the coefficient matrices and using the least squares method from the frequency domain. On this basis, the time-delay factor of original system is split from input matrix by a kind of separated method. At last, the method proposed is used to identify the temperature system model of ceramic shuttle kiln. Simulation results show that the proposed method is effective and feasible.

DOI 10.11648/j.ajcst.20180104.12
Published in American Journal of Computer Science and Technology (Volume 1, Issue 4, December 2018)
Page(s) 85-89
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Subspace Identification, Time-Delay System, Principal Component Analysis

References
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[2] Z. Ye, M. T. Kai, M. Carman, Grouping points by shared subspaces for effective subspace clustering, Pattern Recognition, 2018, 83: 230-244.
[3] C. Priori, M. De Angelis, R. Betti, On the selection of user-defined parameters in data-driven stochastic subspace identification, Mechanical Systems and Signal Processing, 2018, 100: 501-523.
[4] X. S. Luo, Y. D. Song, Data-driven predictive control of Hammerstein–Wiener systems based on subspace identification, Information Sciences, 2018, 422:447-461
[5] L. Zhang, V. Lieven, Interior-point method for nuclear norm approximation with application to system identification, SIAM Journal on Matrix Analysis and Applications, 2009, 31(3): 1235-1256.
[6] M. G. Plessen, T. A. Wood, R. S. Smith, Time-domain Subspace Identification Algorithms using Nuclear Norm Minimization, IFAC-Papers Online, 2015, 48(28): 903-908.
[7] S. T. Navalkar, J. W. van Wingerden, Nuclear Norm-Based Recursive Subspace Identification for Wind Turbine Flutter Detection, IEEE Transactions on Control Systems Technology, 2017, 99:1-13.
[8] Y. Gu, R. Ding, A least squares identification algorithm for a state space model with multi-state delays, Applied Mathematics Letters, 2013, 26(7): 748-753.
[9] J. H. Wang, D. B. Wang, Z. S. Wang, Forgetting Factor Algorithm for Aircraft Flutter Modal Parameter Identification, Chinese Space Science and Technology 2009, (06): 7-14.
[10] W. Li, C. Peng, Y. Wang, Frequency Domain Subspace Identification of Fractional Order Time Delay System, International Journal of Control, Automation and Systems, 2011, 9(2): 310–316.
[11] T. McKelvey, H. Akcay, L. Ljung, Subspace-based multivariable system identification from frequency response data, IEEE Transactions on Automatic Control, 1996, 41(7): 960-979.
[12] B. Kim, C. Y. Ko, N. Wong, Tensor network subspace identification of polynomial state space models, Automatica, 2018, 95: 187-196.
[13] B. Telsang, S. T. Navalkar, J. W. van Wingerden, Recursive Nuclear Norm based Subspace Identification, IFAC-Papers Online, 2017, 50(1): 9490-9495.
[14] Oveisi, T. Nestorović, A. Montazeri, Frequency Domain Subspace Identification of Multivariable Dynamical Systems for Robust Control Design, IFAC-Papers Online, 2018, 51(15): 990-995.
Author Information
  • School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen City, China

  • School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen City, China

  • School of Electronic Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou City, China

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  • APA Style

    Zhu Yonghong, Yu Yuanjun, Wang Jianhong. (2019). A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln. American Journal of Computer Science and Technology, 1(4), 85-89. https://doi.org/10.11648/j.ajcst.20180104.12

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    ACS Style

    Zhu Yonghong; Yu Yuanjun; Wang Jianhong. A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln. Am. J. Comput. Sci. Technol. 2019, 1(4), 85-89. doi: 10.11648/j.ajcst.20180104.12

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    AMA Style

    Zhu Yonghong, Yu Yuanjun, Wang Jianhong. A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln. Am J Comput Sci Technol. 2019;1(4):85-89. doi: 10.11648/j.ajcst.20180104.12

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  • @article{10.11648/j.ajcst.20180104.12,
      author = {Zhu Yonghong and Yu Yuanjun and Wang Jianhong},
      title = {A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln},
      journal = {American Journal of Computer Science and Technology},
      volume = {1},
      number = {4},
      pages = {85-89},
      doi = {10.11648/j.ajcst.20180104.12},
      url = {https://doi.org/10.11648/j.ajcst.20180104.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajcst.20180104.12},
      abstract = {In this paper, a problem in engineering area which the output variables are not corresponding to input variables is presented. To improve it, a kind of method to the identification and modeling of a common linear state system with delay factor are studied. The domain of this system with time-delay factor is transformed from the time-domain to the frequency-domain firstly, and then the subspace identification model with the hiding delay factor is constructed by using the data of frequency domain response. The coefficient matrix of the constructed model is identified by using the principal component analysis. And the engineering system can be modeled by knowing the state matrices in time domain which can be extracted from the coefficient matrices and using the least squares method from the frequency domain. On this basis, the time-delay factor of original system is split from input matrix by a kind of separated method. At last, the method proposed is used to identify the temperature system model of ceramic shuttle kiln. Simulation results show that the proposed method is effective and feasible.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - A Kind of Frequency Subspace Identification Method with Time Delay and Its Application in Temperature Modeling of Ceramic Shuttle Kiln
    AU  - Zhu Yonghong
    AU  - Yu Yuanjun
    AU  - Wang Jianhong
    Y1  - 2019/01/22
    PY  - 2019
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    DO  - 10.11648/j.ajcst.20180104.12
    T2  - American Journal of Computer Science and Technology
    JF  - American Journal of Computer Science and Technology
    JO  - American Journal of Computer Science and Technology
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    EP  - 89
    PB  - Science Publishing Group
    SN  - 2640-012X
    UR  - https://doi.org/10.11648/j.ajcst.20180104.12
    AB  - In this paper, a problem in engineering area which the output variables are not corresponding to input variables is presented. To improve it, a kind of method to the identification and modeling of a common linear state system with delay factor are studied. The domain of this system with time-delay factor is transformed from the time-domain to the frequency-domain firstly, and then the subspace identification model with the hiding delay factor is constructed by using the data of frequency domain response. The coefficient matrix of the constructed model is identified by using the principal component analysis. And the engineering system can be modeled by knowing the state matrices in time domain which can be extracted from the coefficient matrices and using the least squares method from the frequency domain. On this basis, the time-delay factor of original system is split from input matrix by a kind of separated method. At last, the method proposed is used to identify the temperature system model of ceramic shuttle kiln. Simulation results show that the proposed method is effective and feasible.
    VL  - 1
    IS  - 4
    ER  - 

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