Explicit model predictive control through robust optimization

Pappas, Iosif; Diangelakis, Nikolaos A.; Pistikopoulos, Efstratios N.

doi:10.1002/aic.18172

Title: Explicit model predictive control through robust optimization

Abstract

Abstract A strategy that calculates an explicit state feedback policy to regulate constrained uncertain discrete‐time uncertain linear systems is presented. We consider uncertain processes, affected by box‐bounded multiplicative uncertainty as well as bounded additive uncertainty with linear state and inputs constraints. The proposed method includes (i) the calculation of a terminal set constraint and (ii) the robust reformulation of state constraints in the prediction horizon. These features allow the derivation of the desired policy by solving a single multiparametric quadratic programming problem that guarantees feasible operation in the presence of uncertainty. Additionally, we employ variable and constraint elimination approaches to enhance the computational performance of the strategy. We demonstrate the steps and benefits of these developments with a numerical example and a chemical engineering case study.

Authors:

^[1];

^[2];

^[1]

Artie McFerrin Department of Chemical Engineering Texas A&,M University College Station Texas USA, Texas A&,M Energy Institute Texas A&,M University College Station Texas USA
School of Chemical and Environmental Engineering Technical University of Crete Chania Greece

Publication Date:: Wed Jul 05 00:00:00 EDT 2023

Sponsoring Org.:: USDOE

OSTI Identifier:: 1988192

Alternate Identifier(s):: OSTI ID: 1995884

Grant/Contract Number:: DE‐EE0007613; 4550 G WA324

Resource Type:: Published Article

Journal Name:: AIChE Journal

Additional Journal Information:: Journal Name: AIChE Journal Journal Volume: 69 Journal Issue: 10; Journal ID: ISSN 0001-1541

Publisher:: Wiley Blackwell (John Wiley & Sons)

Country of Publication:: United States

Language:: English

Citation Formats


                    Pappas, Iosif, Diangelakis, Nikolaos A., and Pistikopoulos, Efstratios N. Explicit model predictive control through robust optimization.  United States: N. p., 2023. 
Web.  doi:10.1002/aic.18172.

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                    Pappas, Iosif, Diangelakis, Nikolaos A., & Pistikopoulos, Efstratios N. Explicit model predictive control through robust optimization.  United States.  https://doi.org/10.1002/aic.18172

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                    Pappas, Iosif, Diangelakis, Nikolaos A., and Pistikopoulos, Efstratios N. Wed .  
"Explicit model predictive control through robust optimization".  United States.  https://doi.org/10.1002/aic.18172.

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@article{osti_1988192,

  title        = {Explicit model predictive control through robust optimization},

  author       = {Pappas, Iosif and Diangelakis, Nikolaos A. and Pistikopoulos, Efstratios N.},

  abstractNote = {Abstract A strategy that calculates an explicit state feedback policy to regulate constrained uncertain discrete‐time uncertain linear systems is presented. We consider uncertain processes, affected by box‐bounded multiplicative uncertainty as well as bounded additive uncertainty with linear state and inputs constraints. The proposed method includes (i) the calculation of a terminal set constraint and (ii) the robust reformulation of state constraints in the prediction horizon. These features allow the derivation of the desired policy by solving a single multiparametric quadratic programming problem that guarantees feasible operation in the presence of uncertainty. Additionally, we employ variable and constraint elimination approaches to enhance the computational performance of the strategy. We demonstrate the steps and benefits of these developments with a numerical example and a chemical engineering case study.},

  doi          = {10.1002/aic.18172},

  journal      = {AIChE Journal},

  number       = 10,

  volume       = 69,

  place        = {United States},

  year         = {Wed Jul 05 00:00:00 EDT 2023},

  month        = {Wed Jul 05 00:00:00 EDT 2023}

}

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Works referenced in this record:

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Title: Explicit model predictive control through robust optimization

Abstract

Citation Formats

Robust explicit model predictive control via regular piecewise-affine approximation journal, July 2014

Robust solutions of Linear Programming problems contaminated with uncertain data journal, September 2000

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Set invariance in control journal, November 1999

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Feedback min-max model predictive control using a single linear program: robust stability and the explicit solution journal, January 2004

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