2017
DOI: 10.1002/aic.15592
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Linear model predictive control for transport‐reaction processes

Abstract: The article deals with systematic development of linear model predictive control algorithms for linear transport‐reaction models emerging from chemical engineering practice. The finite‐horizon constrained optimal control problems are addressed for the systems varying from the convection dominated models described by hyperbolic partial differential equations (PDEs) to the diffusion models described by parabolic PDEs. The novelty of the design procedure lies in the fact that spatial discretization and/or any oth… Show more

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Cited by 44 publications
(30 citation statements)
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“…The control vector reduces a defined cost function in excess of the prediction horizon in the occurrence of constraints and disturbances. 35 The first part of the considered control vector at each sampling instant is supplied to the input of the system, and the rest is refused. The whole procedure is repetitive in the next time instant.…”
Section: Mpcmentioning
confidence: 99%
See 1 more Smart Citation
“…The control vector reduces a defined cost function in excess of the prediction horizon in the occurrence of constraints and disturbances. 35 The first part of the considered control vector at each sampling instant is supplied to the input of the system, and the rest is refused. The whole procedure is repetitive in the next time instant.…”
Section: Mpcmentioning
confidence: 99%
“…The whole procedure is repetitive in the next time instant. 34,35 The cost function takes the shape of the error of path, effort of control and cost of energy, or a group of these factors.…”
Section: Mpcmentioning
confidence: 99%
“…Along this line of late lumping, this work utilizes the Crank-Nicolson time discretization framework for late lumping of DPSs, which can ensure a symmetric and symplectic numerical integration of linear systems without spatial approximation or model reduction [69,[72][73][74].…”
Section: Model Discretizationmentioning
confidence: 99%
“…MPC is an advanced technique of process control in industries such as chemical plants and oil refineries since the 1980s (Dotoli et al, 2017). It depends on capturing the dynamic models of the process that are most often linear experimental models built by system identification (Xu and Stevan, 2017).…”
Section: Control Strategiesmentioning
confidence: 99%