(67b) A Model Based Multiparametric Programming Strategy for the Integration of Design and Control Under Uncertainty

Simultaneous strategies for process and control design are expected to deliver integrated and intensified processes with reduced costs and energy requirements [1]. The problem of simultaneous design and control is recieving an increasing amount of attention in the open literature [2]. This extensive research has yielded different methodologies, but none that utilize a comprehensize framework that begins with a high fidelity model, robust optimization techniques, and a model predictive controller (MPC).

In this study, we present the foundation of a simultaneous strategy that addresses many of the above challanges [3]. In particular, it follows a (i) mixed integer dynamic optimization model representation of the integrated process design implemented in a modeling environment (e.g. gPROMS®), (ii) the development of a suitable approximate model, amenable for control studies, (iii) a multi-parametric optimization and explicit model predictive control step, which allows for the development of explicit expressions of receding horizon control strategies as a function of the design vairables, and (iv) a closed loop validation step where the optimal integrated design and control expressions of step ii are included within the original high fidelity model in step i. To illustrate the technique discussed, we present three case studies of different complexities: a continuously stirred tank reactor (CSTR), a binary distillation column, and a residential cogeneration heat and power (CHP) system.

References

1. Pistikopoulos, E.N., Diangelakis, N.A., Towards the integration of process design, control and scheduling: Are we getting closer? (2015) Computers and Chemical Engineering, 91, pp. 85-92.
2. Aneesh, V., Antony, R., Paramasivan, G., Selvaraju, N., Distillation technology and need of simultaneous design and control: A review (2016) Chemical Engineering and Processing: Process Intensification, 104, pp. 219-242.
3. Pistikopoulos, E.N., Diangelakis, N.A., Oberdieck, R., Papathanasiou, M.M., Nascu, I., Sun, M. PAROC - An integrated framework and software platform for the optimisation and advanced model-based control of process systems (2015) Chemical Engineering Science, 136, pp. 115-138.