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Robust Model-Predictive Control

Encyclopedia of Systems and Control

Abstract

Model-predictive control (MPC) is indisputably one of the rare modern control techniques that has significantly affected control engineering practice due to its unique ability to systematically handle constraints and optimize performance. Robust MPC (RMPC) is an improved form of the nominal MPC that is intrinsically robust in the face of uncertainty. The main objective of RMPC is to devise an optimization-based control synthesis method that accounts for the intricate interactions of the uncertainty with the system, constraints, and performance criteria in a theoretically rigorous and computationally tractable way. RMPC has become an area of theoretical relevance and practical importance but still offers the fundamental challenge of reaching a meaningful compromise between the quality of structural properties and the computational complexity.

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Bibliography

  • Artstein Z, Raković SV (2008) Feedback and invariance under uncertainty via set iterates. Automatica 44(2):520–525

    Article  MathSciNet  Google Scholar 

  • Blanchini F, Miani S (2008) Set–theoretic methods in control. Systems & control: foundations & applications. Birkhauser, Boston/Basel/Berlin

    Google Scholar 

  • Chisci L, Rossiter JA, Zappa G (2001) Systems with persistent disturbances: predictive control with restricted constraints. Automatica 37:1019–1028

    Article  MATH  MathSciNet  Google Scholar 

  • Gossner JR, Kouvaritakis B, Rossiter JA (1997) Stable generalised predictive control in the presence of constraints and bounded disturbances. Automatica 33(4):551–568

    Article  MATH  MathSciNet  Google Scholar 

  • Goulart PJ, Kerrigan EC, Maciejowski JM (2006) Optimization over state feedback policies for robust control with constraints. Automatica 42(4):523–533

    Article  MATH  MathSciNet  Google Scholar 

  • Grimm G, Messina MJ, Tuna SE, Teel AR (2004) Examples when nonlinear model predictive control is nonrobust. Automatica 40:1729–1738

    Article  MATH  MathSciNet  Google Scholar 

  • Kolmanovsky IV, Gilbert EG (1998) Theory and computation of disturbance invariant sets for discrete time linear systems. Math Problems Eng Theory Methods Appl 4:317–367

    Article  MATH  Google Scholar 

  • Löfberg J (2003) Minimax approaches to robust model predictive control. Ph.D. dissertation, Department of Electrical Engineering, Linköping University, Linköping

    Google Scholar 

  • Mayne DQ, Seron M, Raković SV (2005) Robust model predictive control of constrained linear systems with bounded disturbances. Automatica 41:219–224

    Article  MATH  Google Scholar 

  • Mayne DQ, Raković SV, Findeisen R, Allgöwer F (2009) Robust output feedback model predictive control of constrained linear systems: time varying case. Automatica 45:2082–2087

    Article  MATH  Google Scholar 

  • Raković SV (2009) Set theoretic methods in model predictive control. In: Lalo Magni, Davide Martino Raimondo and Frank Allgöwer (eds) Nonlinear model predictive control: towards new challenging applications. Lecture notes in control and information sciences, vol 384. Springer, Berlin/Heidelberg, pp 41–54

    Chapter  Google Scholar 

  • Raković SV (2012) Invention of prediction structures and categorization of robust MPC syntheses. In: Proceedings of the 4th IFAC conference on nonlinear model predictive control NMPC 2012, Noordwijkerhout. Plenary Paper, 245–273

    Google Scholar 

  • Raković SV, Kerrigan EC, Kouramas KI, Mayne DQ (2005) Invariant approximations of the minimal robustly positively invariant set. IEEE Trans Autom Control 50(3):406–410

    Article  Google Scholar 

  • Raković SV, Kouvaritakis B, Cannon M, Panos C, Findeisen R (2012) Parameterized tube model predictive control. IEEE Trans Autom Control 57(11):2746–2761

    Article  Google Scholar 

  • Raković SV, Kouvaritakis B, Cannon M (2013) Equi-normalization and exact scaling dynamics in homothetic tube model predictive control. Syst Control Lett 62(2):209–217

    Article  MATH  Google Scholar 

  • Rawlings JB, Mayne DQ (2009) Model predictive control: theory and design. Nob Hill Publishing, Madison

    Google Scholar 

  • Scokaert POM, Mayne DQ (1998) Min–max feedback model predictive control for constrained linear systems. IEEE Trans Autom Control 43:1136–1142

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Member of the Senior Common Room at St. Edmund Hall, Oxford University, St. Edmund Hall, Oxford, UK

    Saša Raković

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  1. Saša Raković
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Correspondence to Saša Raković .

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Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2013 Springer-Verlag London

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Raković, S. (2013). Robust Model-Predictive Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_2-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_2-1

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  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Robust Model Predictive Control
    Published:
    08 November 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_2-3

  2. Robust Model Predictive Control
    Published:
    10 September 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_2-2

  3. Original

    Robust Model-Predictive Control
    Published:
    07 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_2-1

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