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    Inner-phase-evolution-traced statistical modeling and online monitoring for uneven batch processes

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    Most batch processes have multiple phases with different characteristics. Within each phase, processes usually evolve following certain underlying rules, called inner-phase evolution here. For normal processes, these evolution rules must be obeyed, and any violation of the inner-phase evolutions is deemed to be abnormal. In this paper, a new statistical modeling and online monitoring method is proposed by combining principal component analysis (PCA) and qualitative trend analysis (QTA) to trace inner-phase evolutions of batch processes. By this method, inner-phase evolutions are traced, offering more information about whether the process is operating under normal status. Meanwhile, the problem of uneven-duration batches can be handled. Transitions are also modeled and monitored effectively. A chart showing the evolutions of variable contributions to a fault is designed for fault diagnosis. This method is applied to an injection molding process, revealing satisfactory monitoring and fault detection results. © 2013 IEEE
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