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Least‐Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear‐in‐Parameters Multiple‐Input Single‐Output Output Error Systems

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Listed:
  • Cheng Wang
  • Tao Tang
  • Dewang Chen

Abstract

The identification of a class of linear‐in‐parameters multiple‐input single‐output systems is considered. By using the iterative search, a least‐squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least‐squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.

Suggested Citation

  • Cheng Wang & Tao Tang & Dewang Chen, 2014. "Least‐Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear‐in‐Parameters Multiple‐Input Single‐Output Output Error Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:673197
    DOI: 10.1155/2014/673197
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    References listed on IDEAS

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    1. Weili Xiong & Wei Fan & Rui Ding, 2012. "Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, August.
    2. Weili Xiong & Wei Fan & Rui Ding, 2012. "Least‐Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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