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Iterative parameter and order identification for fractional‐order nonlinear finite impulse response systems using the key term separation
Author(s) -
Wang Junwei,
Ji Yan,
Zhang Chen
Publication year - 2021
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.3257
Subject(s) - nonlinear system , term (time) , impulse response , algorithm , noise (video) , mathematics , iterative method , control theory (sociology) , estimation theory , key (lock) , impulse (physics) , system identification , linear system , computer science , mathematical optimization , artificial intelligence , data modeling , mathematical analysis , physics , control (management) , computer security , quantum mechanics , database , image (mathematics)
Summary This article considers the parameter estimation for a fractional‐order nonlinear finite impulse response system with colored noise. For the fractional‐order systems, the challenge and difficulty are to identify the order and parameters of the systems simultaneously under colored noise disturbances. In order to reduce the problem of redundant parameter estimation, the output form of the system can be expressed by a linear combination of unknown parameters through the separation of the key term separation. A key term separation auxiliary model gradient‐based iterative algorithm is derived by using the negative gradient search. Meanwhile, to achieve the higher estimation accuracy, we propose a key term separation auxiliary model multiinnovation gradient‐based iterative algorithm by utilizing the multiinnovation theory. Finally, the simulation results test the effectiveness of the proposed algorithms.