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Identification of Linear Time‐Invariant Systems under Periodic Disturbance with Its Estimation
Author(s) -
KANEKO OSAMU,
OHMURA KAZUKI,
HAYASHI YUUKI,
YAMAMOTO SHIGERU
Publication year - 2016
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.11789
Subject(s) - disturbance (geology) , control theory (sociology) , mathematics , lti system theory , invariant (physics) , linear system , estimation theory , identification (biology) , system identification , computer science , algorithm , mathematical analysis , artificial intelligence , data modeling , control (management) , paleontology , botany , database , mathematical physics , biology
SUMMARY In this paper, we propose a new method for identification of linear time‐invariant systems and estimation of unknown periodic disturbances. We assume that a disturbance to be considered here is unknown except its period. In this method, by stacking not only the unknown coefficients of a mathematical model but also the unknown disturbance as a parameter vector, we modify the equation error method so as to treat the unknown disturbance in the identification scheme. In particular, we also explain how the periodicity of the disturbance is utilized. In order to show the validity of this method, we give an illustrative numerical example.