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Constrained optimal batch polymerization reactor control

✍ Scribed by Argimiro R. Secchi; Enrique Luis Lima; José Carlos Pinto

Publisher
Society for Plastic Engineers
Year
1990
Tongue
English
Weight
691 KB
Volume
30
Category
Article
ISSN
0032-3888

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✦ Synopsis

Abstract

The theory of optimal control is used to analyze the performance of a batch PMMA (poly(methylmethacrylate)) polymerization reactor. Optimal dynamic profiles of temperature, initiator feed rate, and initiator concentration in the reactor are generated in order for specified conversion of monomer, number molecular weight, and polydispersity of the final product to be obtained. Based on tae physical limitations of the system, some restrictions are imposed to the control variable variations. The application of Pontryagin's Minimum Principle leads to a mixed initial/final value problem, which is solved by discretizing the control law in the state‐space, with the usage of a first order holder. A gradient method is used to minimize the Hamiltonian. The simulation results show that the gel‐effect equation and restrictions imposed on the system are of primary importance to the analysis of the reactor performance.

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