Evaluate the performance and robustness of alternative decoupling control systems. In particular, robustness to errors in the assumed process model will be of interest. Use MATLAB to simulate the Wood-Berry distillation column model in Example 18.1. Perform a computer simulation of the controlled process to answer the following questions:(a) For the ideal case of a perfect process model, which of the following three controllers provides the best set-point responses: dynamic decoupler, static decoupler, or conventional multiloop PI control? Use these PI controller settings for all three cases:(b) Does the dynamic decoupling control scheme exhibit a reasonable degree of robustness to modeling errors? In order to answer this question, evaluate decoupling controller parameters that correspond to one or more of the assumed process gains being incorrect (+20% error), Repeat for the assumed process time constants using +20% K11, + 20% K11+20% K11 and + 20% K22, +20% ?11, and + 20% ?22.:

Ke - 0.85, T1 - 7.21 min for the o-R loop; Ke = -0.089, 71 - 8.86 min for the xa-S loop.