1999
DOI: 10.1590/s0104-66321999000100006
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A Hybrid Neural Model for the Optimization of Fed-Batch Fermentations

Abstract: In this work a hybrid neural modelling methodology, which combines mass balance equations with functional link networks (FLNs), used to represent kinetic rates, is developed for bioprocesses. The simple structure of the FLNs allows the easy and rapid estimation of network weights and, consequently, the use of the hybrid model in an adaptive form. As the proposed model is able to adjust to kinetic and environmental changes, it is suitable for use in the development of optimization strategies for fed-batch biore… Show more

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Cited by 24 publications
(18 citation statements)
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“…Tests were made to determine the functional expansion degree and activation function that led to the best training performance of the networks (Costa et al, 1999). For both FLNs the functional expansion degree chosen was 6 and the activation function was:…”
Section: Resultsmentioning
confidence: 99%
See 3 more Smart Citations
“…Tests were made to determine the functional expansion degree and activation function that led to the best training performance of the networks (Costa et al, 1999). For both FLNs the functional expansion degree chosen was 6 and the activation function was:…”
Section: Resultsmentioning
confidence: 99%
“…Before the functional expansion is performed, the network inputs, x e , are transformed into a greater number, n z , of auxiliary inputs, z. These auxiliary inputs are non-linear expressions of the real inputs (Costa et al, 1999). A polynomial expansion was then performed on the new inputs.…”
Section: Process Identification Using Functional Link Networkmentioning
confidence: 99%
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“…These methods can account for nonlinearities and are relatively computationally inexpensive. In case that the process model equations are not invertible, FLC (Bazaei & Majd, 2003;Hussain, Ho, & Allwright, 2001;Madar, Abonyi, & Szeifert, 2005), sliding mode control (Hussain & Ho, 2004), Model Predictive Con-trol (MPC) (Abonyi et al, 1999;Cubillos, Callejas, Lima, & Vega, 2001;Hermanto et al, 2011;Ibrehem, Hussain, & Ghasem, 2011;Klimasauskas, 1998;Tsen et al, 1996;van Can et al, 1996;Vega et al, 2000;Vega, Lima, & Pinto, 1997), predictive or optimal control (Anderson et al, 2000;Costa et al, 1998;Costa, Henriques, Alves, Maciel Filho, & Lima, 1999;Cubillos & Lima, 1997Schenker & Agarwal, 2000;Vieira et al, 2005) schema can be employed, where FLC and sliding mode control are computational less expensive while MPC or optimal control may provide better performance. When comparing the performances of control schema that utilize hybrid semiparametric models to those using either traditional control methods (such as a self-tuning PID (Xiong & Jutan, 2002), a generalized minimum variance controller (Xiong & Jutan, 2002), a FLC based on a linear model (Hussain et al, 2001) or a MPC based on a linearized model (Anderson et al, 2000)) or to non-parametric model based controllers (Cubillos et al, 2001;Hussain et al, 2001;Ibrehem et al, 2011;Schenker & Agarwal, 2000), it was mostly observed that the hybrid semiparametric model based control schema performed significantly better.…”
Section: Hybrid Semi-parametric Model Based Controller Structuresmentioning
confidence: 99%