4.6 Article

An integrated framework for scheduling and control using fast model predictive control

Journal

AICHE JOURNAL
Volume 61, Issue 10, Pages 3304-3319

Publisher

WILEY
DOI: 10.1002/aic.14914

Keywords

integration of scheduling and control; piece-wise affine approximation; fast model predictive control; Multiparametric model predictive control; mixed integer nonlinear programming

Funding

  1. NSF [CBET 1159244]
  2. Div Of Chem, Bioeng, Env, & Transp Sys
  3. Directorate For Engineering [1159244] Funding Source: National Science Foundation

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Integration of scheduling and control involves extensive information exchange and simultaneous decision making in industrial practice (Engell and Harjunkoski, Comput Chem Eng. 2012;47:121-133; Baldea and Harjunkoski I, Comput Chem Eng. 2014;71:377-390). Modeling the integration of scheduling and dynamic optimization (DO) at control level using mathematical programming results in a Mixed Integer Dynamic Optimization which is computationally expensive (Flores-Tlacuahuac and Grossmann, Ind Eng Chem Res. 2006;45(20):6698-6712). In this study, we propose a framework for the integration of scheduling and control to reduce the model complexity and computation time. We identify a piece-wise affine model from the first principle model and integrate it with the scheduling level leading to a new integration. At the control level, we use fast Model Predictive Control (fast MPC) to track a dynamic reference. Fast MPC also overcomes the increasing dimensionality of multiparametric MPC in our previous study (Zhuge and Ierapetritou, AIChE J. 2014;60(9):3169-3183). Results of CSTR case studies prove that the proposed approach reduces the computing time by at least two orders of magnitude compared to the integrated solution using mp-MPC. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 3304-3319, 2015

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