2011
DOI: 10.1002/aic.12720
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Integrating data‐based modeling and nonlinear control tools for batch process control

Abstract: A data‐based multimodel approach is developed in this work for modeling batch systems in which multiple local linear models are identified using latent variable regression and combined using an appropriate weighting function that arises from fuzzy c‐means clustering. The resulting model is used to generate empirical reverse‐time reachability regions (RTRRs) (defined as the set of states from where the data‐based model can be driven inside a desired end‐point neighborhood of the system), which are subsequently … Show more

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Cited by 63 publications
(14 citation statements)
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“…Actually, RSW is a dynamic process involving changes of current and voltage in the welding machine together with changes of the nugget and HAZ sizes of the welding sample. The dynamic considerations should be involved to better model the realistic process, monitor the final quality and handle possible dynamics (Aumi and Mhaskar, 2012; Aumi et al, 2013). In this section, our scheme for welding quality estimation will be presented, where the HAZ dynamic increment and expulsion time detection are explored, respectively.…”
Section: Methods For Welding Quality Estimationmentioning
confidence: 99%
“…Actually, RSW is a dynamic process involving changes of current and voltage in the welding machine together with changes of the nugget and HAZ sizes of the welding sample. The dynamic considerations should be involved to better model the realistic process, monitor the final quality and handle possible dynamics (Aumi and Mhaskar, 2012; Aumi et al, 2013). In this section, our scheme for welding quality estimation will be presented, where the HAZ dynamic increment and expulsion time detection are explored, respectively.…”
Section: Methods For Welding Quality Estimationmentioning
confidence: 99%
“…The central concept of multimodel approaches is the division of the process data into several groups such that each represents a single operation mode/phase. For most papers, mode/phase division is based on clustering algorithms; for example, Aumi and Mhaskar developed a multi‐model approach that integrates the theories of ARX modelling, PCA/PLS methods, fuzzy c‐means clustering, and multiple linear models. Outside of clustering algorithms, Zhao and her co‐workers detected the phase‐division points by comparing the control limits of two adjacent time‐segment models.…”
Section: Issues In Process Monitoringmentioning
confidence: 99%
“…The batch-to-batch quality control is an off-line control strategy, and it adjusts the entire input trajectory of the following batch runs. After the input trajectory is derived, the proportional-integral-derivative (PID) algorithm may be employed to adjust the manipulated variable to track the predefined trajectory. , However, PID is not an ideal choice for the process with multidimensional coupling variables. Golshan applied the predictive control method based on the latent variable model to achieve the batch-to-batch trajectory tracking. , This method calculates the adjustment in the low-dimensional latent variable space, then derives the manipulated variables according to the latent variable model, which performs better in the trajectory tracking than PID.…”
Section: Introductionmentioning
confidence: 99%