Simultaneous Cyclic Scheduling and Control of a Multiproduct CSTR

A simultaneous scheduling and control formulation is proposed by explicitly incorporating into the scheduling model process dynamics in the form of differential/algebraic constraints, which is able to handle nonlinearities embedded into the processing system.

Abstract

In this work, we propose a simultaneous scheduling and control formulation by explicitly incorporating into the scheduling model process dynamics in the form of differential/algebraic constraints. The formulation takes into account the interactions between scheduling and control and is able to handle nonlinearities embedded into the processing system. The simultaneous scheduling and control problems is cast as a mixed-integer dynamic optimization (MIDO) problem where the simultaneous approach, based on orthogonal collocation on finite elements, is used to transform it into a mixed-integer nonlinear programming (MINLP) problem. The proposed simultaneous scheduling and control formulation is tested using three multiproduct continuous stirred tank reactors featuring difficult nonlinearities.