| Summary: | 碩士 === 國立中正大學 === 化學工程研究所 === 90 === In this study, Hybrid differential evolution (HDE) is applied to estimate the kinetic parameters of the free radical polymerization of styrene. The system of polymerization is the set of highly nonlinear differential algebraic equations. For estimating parameters easily, the differential algebraic equations are transferred into algebraic ones by a modified collocation method. Then, we can use hybrid differential evolution to estimate unknown parameters.
We considered actually measurable data in the factory. These available experimental data could be introduced into the model to estimate the optimal parameters. For parameter estimation problem, we considered the worst observed error for all experiments as an objective function. The approach is a special case of multiobjective parameter estimation problems so that parameter problem becomes a min-max problem. We use several numerical methods to solve the min-max parameter estimation problem and compare each other. The HDE can use a small population size to obtain a more satisfied solution, and establish a model for parameter estimation of differential algebraic system.
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