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A mixed-integer formulation for back-off under constrained predictive control
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DOI：10.1016/j.compchemeng.2008.01.004.png)
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The steady-state economic optimum in chemical process plants generally lies at the intersection of constraints. However, in order to maintain feasible operation in the face of disturbances. the steady-state operating point needs to be moved some distance from the constraints into the feasible region. The optimal back-off is a function of the plant dynamics, the type and magnitude of the expected disturbances, and the plant control system. This paper considers calculation of the optimal back-off with regulation under constrained predictive control. The resulting optimization problem is multilevel in nature. and is formulated and solved as a mixed-integer quadratic or linear programming problem for which global optimality is guaranteed. Case studies comprising CSTRs in series and a fluid catalytic cracking unit illustrate the application of the strategy. (c) 2007 Elsevier Ltd. All rights reserved.
Keyword:
back-off
economic optimization
model predictive control
multilevel optimization
mixed-integer programming
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