Dynamic optimization of multivariable endothermic reaction in cascade CSTR

The dynamic optimization problem of a multivariable endothermic reaction in cascade continuous stirred tank reactors is solved with simultaneous method in this paper. Radau collocation is applied in discretization because of its stiff decay and high precision. A two-layer optimization is presented to get a fast convergence rate when dealing with the nonlinear case. In the industry process, the load variation may be very large and may cause output variable's big overshoot. In order to reduce the overshoot, a segmentation load variation method is introduced. The good results of this nonlinear ordinary differential equations system show the validity of these methods.