4.4 Article

Recursive Least Squares Algorithm for Nonlinear Dual-rate Systems Using Missing-Output Estimation Model

Journal

CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 36, Issue 4, Pages 1406-1425

Publisher

SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-016-0368-6

Keywords

Parameter estimation; Recursive least squares algorithm; Missing-output estimation model; Martingale convergence theorem; Nonlinear system

Funding

  1. National Natural Science Foundation of China [61403165, 61374126]
  2. Natural Science Foundation of Jiangsu Province [BK20131109]
  3. Post Doctoral Foundation of Jiangsu Province [1501015A]

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In this paper, a recursive least squares algorithm is proposed for a class of nonlinear dual-rate systems. By using the missing-output estimation model, the unavailable outputs can be estimated. Then, the unknown parameters can be estimated from all the inputs and outputs. Compared with the polynomial transformation technique and the lifting technique, the unknown parameters can be estimated directly by using the missing-output estimation model, without increasing the number of parameters. The convergence analysis and the simulation results indicate that the proposed method is effective.

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