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Parameter estimation for time‐delay systems based on the frequency responses and harmonic balance methods
Author(s) -
Ni Jiayao,
Xu Ling,
Ding Feng,
Gu Ya,
Alsaedi Ahmed,
Hayat Tasawar
Publication year - 2020
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.3180
Subject(s) - control theory (sociology) , harmonic balance , harmonic , iterative method , estimation theory , recursive least squares filter , least squares function approximation , mathematics , algorithm , computer science , nonlinear system , statistics , adaptive filter , physics , artificial intelligence , control (management) , quantum mechanics , estimator
Two parameter estimation methods for linear time‐delay systems are proposed based on the frequency responses and the harmonic balance methods. One is the stochastic gradient gradient‐based iterative (SG‐GI) algorithm and the other is the recursive least squares gradient‐based iterative (RLS‐GI) algorithm. These two methods can estimate the unknown parameters and the unknown time delays simultaneously by giving sinusoidal signals with different angular frequencies. Furthermore, a comparative study reveals that the RLS‐GI algorithm is more effective than the SG‐GI algorithm. The effectiveness of the proposed algorithms is illustrated by a numerical example.