As a founder of the Process Systems Engineering (PSE) discipline, Professor Roger W.H. Sargent had set ambitious goals for a systematic new generation of a process design paradigm based on optimization techniques with the consideration of future uncertainties and operational decisions. In this paper, we present a historical perspective on the milestones in model-based design optimization techniques and the developed tools to solve the resulting complex problems. We examine the progress spanning more than five decades, from the early flexibility analysis and optimal process design under uncertainty to more recent developments on the simultaneous consideration of process design, scheduling, and control. This formidable target towards the grand unification poses unique challenges due to multiple time scales and conflicting objectives. Here, we review the recent progress and propose future research directions.
We present a systematic framework
to derive model-based simultaneous
strategies for the integration of scheduling and control via multiparametric
programming. We develop offline maps of optimal scheduling actions
accounting for the closed-loop dynamics of the process through a surrogate
model formulation that incorporates the inherent behavior of the control
scheme. The surrogate model is designed to translate the long-term
scheduling decisions to time varying set points and operating modes
in the time scale of the controller. The continuous and binary scheduling
decisions are explicitly taken into account in the multiparametric
model predictive controllers. We showcase the framework on a stand-alone
three-product continuous stirred tank reactor, and two reactors operating
in parallel.
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