Robust explicit/multi-parametric model predictive control for box-constrained linear dynamic systems

Christos Panos; Konstantinos Kouramas; Efstratios N. Pistikopoulos

doi:10.3182/20100705-3-BE-2011.0152

Robust explicit/multi-parametric model predictive control for box-constrained linear dynamic systems

Christos Panos, Konstantinos Kouramas, Efstratios N. Pistikopoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Robust explicit/multi-parametric controllers are designed for constrained, linear discrete-time systems with box-constrained states and inputs, involving uncertainty in the left-hand side (LHS) of the Model Predictive Control (MPC) optimization model. Based on previous results, this work presents a new algorithm that features: (i) a dynamic programming reformulation of the MPC optimization, (ii) a robust reformulation of the constraints that accounts for uncertainty and (iii) a multi-parametric programming solution step where the controls are obtained as an explicit function of the states. © 2009 IFAC.

Original language	English (US)
Title of host publication	9th International Symposium on Dynamics and Control of Process Systems, DYCOPS 2010
Pages	212-217
Number of pages	6
DOIs	https://doi.org/10.3182/20100705-3-BE-2011.0152
State	Published - Dec 1 2010
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-07-01
Acknowledgements: The financial support of EPSRC (GR/T02560/01, EP/E047017/1), European Commission (PRISM ToK project, Contact No: MTKI-CT-2004-512233 and DIAMANTEToK project, Contract No: MTKI-CT-2005-IAP-029544),European Research Council (MOBILE, ERC AdvancedGrant No: 226462) and KAUST is greatfully acknowl-edged.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.3182/20100705-3-BE-2011.0152

Cite this

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abstract = "Robust explicit/multi-parametric controllers are designed for constrained, linear discrete-time systems with box-constrained states and inputs, involving uncertainty in the left-hand side (LHS) of the Model Predictive Control (MPC) optimization model. Based on previous results, this work presents a new algorithm that features: (i) a dynamic programming reformulation of the MPC optimization, (ii) a robust reformulation of the constraints that accounts for uncertainty and (iii) a multi-parametric programming solution step where the controls are obtained as an explicit function of the states. {\textcopyright} 2009 IFAC.",

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N2 - Robust explicit/multi-parametric controllers are designed for constrained, linear discrete-time systems with box-constrained states and inputs, involving uncertainty in the left-hand side (LHS) of the Model Predictive Control (MPC) optimization model. Based on previous results, this work presents a new algorithm that features: (i) a dynamic programming reformulation of the MPC optimization, (ii) a robust reformulation of the constraints that accounts for uncertainty and (iii) a multi-parametric programming solution step where the controls are obtained as an explicit function of the states. © 2009 IFAC.

AB - Robust explicit/multi-parametric controllers are designed for constrained, linear discrete-time systems with box-constrained states and inputs, involving uncertainty in the left-hand side (LHS) of the Model Predictive Control (MPC) optimization model. Based on previous results, this work presents a new algorithm that features: (i) a dynamic programming reformulation of the MPC optimization, (ii) a robust reformulation of the constraints that accounts for uncertainty and (iii) a multi-parametric programming solution step where the controls are obtained as an explicit function of the states. © 2009 IFAC.

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BT - 9th International Symposium on Dynamics and Control of Process Systems, DYCOPS 2010

ER -

Robust explicit/multi-parametric model predictive control for box-constrained linear dynamic systems

Abstract

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