Handling Infeasibilities in Dual Modifier-Adaptation Methodology for Real-Time Optimization

This work shows an extension of dual-modifier adaptation methodology for RTO to reduce the infeasibilities. The main idea is to add a PI controller that is activated only when the measurements shows a violation in the constraints. Since the dual problem is solved to estimate the gradients of the process, an additional controller must be considered in order to increase the inverse of the condition number of the matrix formed with past values. The methodology presented has been applied in a simulated oxygen consumption plant. The results show that, under modelling mismatch, the method finds the real optimum of the process in a feasible path.