2006
DOI: 10.1016/j.jprocont.2005.04.003
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Modelling and control of chaotic processes through their bifurcation diagrams generated with the help of recurrent neural network models. Part 2: An industrial study

Abstract: Many real-world processes tend to be chaotic and are not amenable to satisfactory analytical models. It has been shown here that for such chaotic processes represented through short chaotic noisy observed data, a multi-input and multi-output recurrent neural network can be built which is capable of capturing the process trends and predicting the behaviour for any given starting condition. It is further shown that this capability can be achieved by the recurrent neural network model when it is trained to very l… Show more

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Cited by 7 publications
(4 citation statements)
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“…The union of all these interconnected neurons the artificial neural network [50], [51], [54], [55]. The artificial neural network as well as biological networks learn by repetition, and the more data you must train and the more times you train the network the better results you will get [62], [63], [67]. Training an ANN is a process that modifies the value of the weights associated with each neuron, so that the ANN can generate an output from the data presented in the input [52].…”
Section: Methodsmentioning
confidence: 99%
“…The union of all these interconnected neurons the artificial neural network [50], [51], [54], [55]. The artificial neural network as well as biological networks learn by repetition, and the more data you must train and the more times you train the network the better results you will get [62], [63], [67]. Training an ANN is a process that modifies the value of the weights associated with each neuron, so that the ANN can generate an output from the data presented in the input [52].…”
Section: Methodsmentioning
confidence: 99%
“…It can be clearly interpreted from the mathematical definition that: a direct mathematical concept is O ¼ f (I), and a reverse mathematical concept is O ¼ f À1 (I), where the O denotes the system's output, I denotes the system's input, and f will be mathematical relationship between O and I. The neural networks can be used to model this logical analysis to achieve quality optimization [19][20][21][22]31]. In this study, we also apply the logical analysis mentioned to construct the procedure and make modification.…”
Section: Proposed Approachmentioning
confidence: 99%
“…Artificial neural networks (ANNs) are mentioned to be applied in process modeling problems [19][20][21][22]. Tong and Hsieh [23] had proposed a novel means of applying ANN to solve the multi-response optimization combining the quantitative and qualitative response.…”
Section: Introductionmentioning
confidence: 99%
“…Electric arc furnaces are used to produce FeSi by melting the raw materials (mainly quartz, coal, and coke) using electrical supply as main energy input [1][2][3][4][5][6]. The electrode system, connected to the electrical supply as shown in Fig.…”
Section: Introductionmentioning
confidence: 99%