Kinetic Batch Reactor Optimal Control Problem

The kinetic batch reactor optimal control problem is stated as follows. Minimize the cost functional

eqn6113

subject to the dynamic constraints

eqn6113

the path constraints

eqn6113

(where the fifth path constraint is not enforced in phase 3), the boundary conditions

eqn6113

and the phase continuity (linkage) constraints

eqn6113

The solution of the kinetic batch reactor problem using GPOPS-II with the NLP solver IPOPT is shown in the figures below.


kineticBatchReactorY1kineticBatchReactorY2kineticBatchReactorY3kineticBatchReactorY4kineticBatchReactorY5kineticBatchReactorY6

kineticBatchReactorU1kineticBatchReactorU2kineticBatchReactorU3kineticBatchReactorU4kineticBatchReactorU5



Image Courtesy of Process Engineering Associates, LLC. Used by Permission. Original Image Found at http://www.processengr.com/case_summaries/case_images/sii/batch_reactor.jpg.