文章基本信息

标题：Recursive system identification for coefficient estimation of continuous-time fractional order systems
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作者：Jean-François Duhé ; Stéphane Victor ; Pierre Melchior 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：7
页码：114-119
DOI：10.1016/j.ifacol.2021.08.344
语种：English
出版社：Elsevier
摘要：AbstractFractional-order calculus has already proven to be effective in order to model diffusive phenomena, such as heat transfer or anomalous mass transfer. This has led to developments of fractional-order transfer function models and, as a consequence, system identification algorithms have been developed to identify the parameters for this type of structures. However, it may be necessary to perform real-time system identification in which the parameters evolve over time while more and more data is acquired. Extensions to recursive identification algorithms are presented for fractional-order transfer functions. Two methods are proposed for recursive estimation of the coefficients of continuous-time fractional order systems: the recursive least squares with state variable filters and the prediction-error method. These two methods are compared with different signal to noise ratio levels through Monte Carlo simulations.
关键词：Keywordssystem identificationfractional order modelfractional systemnon-integer modelcontinuous-timerecursive identificationleast squaresprediction error