MATLAB modelling procedure

However, here we leave all numerical procedures and MATLAB coding as exercises to the students and readers. For each problem, all the necessary modeling and data is included, as well as samples of numerical results in the form of tables and graphs. Our readers should now be able to use the models and the given parameters to develop their own MATLAB codes along the lines of what has been practiced before. Then the students should be try to solve the exercises given at the end of each section and finally the general exercises at the end of the chapter. 

In the MATLAB Statistics Toolbox, there are two functions for generating exact D-optimal designs, cordexch and rowexch. Both procedures are equivalent from the user s point of view. To use them, one must specify the number of variables, the number of the experiments, and the type of the desired regression model. Four different model choices are provided ... 

For the distillation columns, linear model-order reduction will be used. The linear model is obtained in Aspen Dynamics. Some modifications to the previous study have been done to the linear models, in order to have the reboiler duty and the reflux ratio as input or output variables of the linear models. This is needed to have access to those variables in the reduced model, for the purpose of the dynamic optimization. A balanced realization of the linear models is performed in Matlab. The obtained balanced models are then redueed. The redueed models of the distillation columns are further implemented in gProms. When all the reduced models of the individual units are available, these models are further connected in order to obtain the full reduced model of the alkylation plant. The outeome of the model reduction procedure is presented in Table 1, together with some performances of the reduced model. 

Simulation models like the one used in this example are very useful in practising Box-Wilson strategy. It can be obtained upon request from the author in the form of a Matlab, R or Excel VBA. For maximal learning, the user is advised to start the procedure at different locations. 

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