Acta Scientiarum Naturalium Universitatis Sunyatseni ›› 2020, Vol. 59 ›› Issue (4): 74-78.doi: 10.13471/j.cnki.acta.snus.2019.03.05.2019B019

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Parameter identification of delayed system based on response sensitivity approach 

WU Rong, LIU Jike, LU Zhongrong, WANG Li   

  1. School of Aeronautics and Astronautics, Sun Yat-sen University, Guangzhou  510006, China
  • Received:2019-03-05 Online:2020-07-25 Published:2020-07-25

Abstract: Based on sensitivity analysis, by introducing Tikhonov regularization and trust-region restriction, the inverse problem of delayed system - parameter identification is transformed into a normal nonlinear least squares optimization problem with trust region, and a parameter identification method for delayed system based on response sensitivity approach is proposed. A single-degree-of-freedom linear delayed system model is studied and the sensitivity analysis of acceleration is carried out. The numerical simulation of parameter identification shows that the proposed method can effectively identify the parameters of simple delayed system, and has the advantages of high identification accuracy, fast convergence speed and less sensitivity to noise. This numerical example verifies the feasibility and efficiency of the response sensitivity approach in the practical parameter identification of delayed systems.

Key words: delay differential equations (DDE), parameter identification, response sensitivity approach, trust-region restriction

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