Molecular Weight Distribution Control for Polymerization Processes Based on the Moment-Generating Function |
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| Authors: | Jianhua Zhang Jinzhu Pu Mifeng Ren |
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| Affiliation: | 1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China;2.School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;3.College of Electrical and Power Engineering, Taiyuan University of Technology, Taiyuan 030024, China |
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| Abstract: | The molecular weight distribution is an important factor that affects the properties of polymers. A control algorithm based on the moment-generating function was proposed to regulate the molecular weight distribution for polymerization processes in this work. The B-spline model was used to approximate the molecular weight distribution, and the weight state space equation of the system was identified by the subspace state space system identification method based on the paired date of B-spline weights and control inputs. Then, a new performance criterion mainly consisting of the moment-generating function was constructed to obtain the optimal control input. The effectiveness of the proposed control method was tested in a styrene polymerization process. The molecular weight distribution of the styrene polymers can be approximated by the B-spline model effectively, and it can also be regulated towards the desired one under the proposed control method. |
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| Keywords: | molecular weight distribution moment-generating function B-spline |
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