2016
DOI: 10.1177/1045389x15604283
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Adaptive simulation of hysteresis using neuro-Madelung model

Abstract: Hysteretic phenomena have been observed in different branches of engineering sciences. Although each of them has its own characteristics, Madelung’s rules are common among most of them. Based on Madelung’s rules, we propose a general approach to the simulation of both the rate-independent and rate-dependent hystereses with either congruent or non-congruent loops. In this approach, a static function accommodates different properties of the hystereses. Using the learning capability of the neural networks, an ada… Show more

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Cited by 11 publications
(7 citation statements)
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“…As a result, many researchers tried to design even better models. Throughout many years, researchers managed to develop [30,31,33,34] methods based on artificial neural networks, to identify systems with hysteresis. In Kosmatopoulos et al [30], a [31] continued to study on this algorithm to improve its computational efficiency and to select more appropriate ANN structure.…”
Section: Artificial Neural Network-based Model For Identificationmentioning
confidence: 99%
See 2 more Smart Citations
“…As a result, many researchers tried to design even better models. Throughout many years, researchers managed to develop [30,31,33,34] methods based on artificial neural networks, to identify systems with hysteresis. In Kosmatopoulos et al [30], a [31] continued to study on this algorithm to improve its computational efficiency and to select more appropriate ANN structure.…”
Section: Artificial Neural Network-based Model For Identificationmentioning
confidence: 99%
“…One of their inputs was a tag, informing about the trend of the second input signal. Farrokh and Dizaji [33] continued work with MLPs. In this work, authors took into account Madelung's description of hysteresis relation, to develop identification algorithm.…”
Section: Artificial Neural Network-based Model For Identificationmentioning
confidence: 99%
See 1 more Smart Citation
“…In 2016, Farrokh and Dizaji [7], proposed a new type of multi-layer feed forward neural networks by inspiring of madelung rules and it has been called neuro-Madelung model (NMM). Madelung's rules are common among most of the hysteresis phenomena [19].…”
Section: Introductionmentioning
confidence: 99%
“…Using the learning capability of the neural networks, an adaptive general model for hysteresis is introduced according to the proposed approach. However, due to the nature of the neural network used in the NMM, and its input dependence on the input-output pair at the previous turning point and the input rate, it will be difficult to explicitly construct the inverse of the NMM [7].…”
Section: Introductionmentioning
confidence: 99%