화학공학소재연구정보센터
Industrial & Engineering Chemistry Research, Vol.58, No.34, 15562-15572, 2019
Input Trajectory Adjustment within Batch Runs Based on Latent Variable Models
In a batch process, the input trajectory is usually predefined before the beginning of a batch run through the product design according to the desired output. However, within a batch run, the trajectory tracking up to the current sampling instant may be influenced by process drifts and disturbances, so even the perfect track of remaining trajectory may not achieve the desired product. The projection to latent structure (PLS)-based trajectory adjustment method guarantees the final desired output by keeping the latent variable constant through the online adjustment of the remaining trajectory within a batch run. However, the latent variable extracted by PLS may contain the output-related information as well as the output-irrelevant information, and it is not appropriate to ensure the output by keeping the output-irrelevant information constant. Three contributions are proposed in this work: the condition to obtain the final desired output is analyzed and derived; a novel trajectory adjustment method is proposed based on the total projection to latent structures (TPLS) model, which further decomposes the latent variable extracted by PLS into the output-related latent variable and the output-irrelevant latent variable; and a trajectory adjustment space is proposed within which any adjustment can achieve the desired output. It is concluded that the output-related latent variable should be kept constant within a whole batch run to achieve the desired final output, and the output-irrelevant input part provides the freedom of adjustment, while the implemented trajectory constitutes the constraints on the adjustment. Through the applications in a numerical case and a continuous stirred reactor process, it is verified that the proposed method can effectively achieve the desired final output.