Skip to main content

Distributed MPC Based on a Team Game

  • Chapter
  • First Online:
Distributed Model Predictive Control Made Easy

Abstract

In this chapter we present a distributed scheme based on a team game for the particular case in which the system is controlled by two agents. The main features of the proposed scheme are the limited amount of global information that the agents share and the low communication burden that it requires. For this reason, this scheme is a good candidate to be implemented in systems with reduced capabilities, for example in wireless sensor and actuator networks.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. I. Alvarado, D. Limón, W.M. Garca, T. Álamo, E.F. Camacho, An educational plant based on the quadruple-tank process, in Preprints of the 7th IFAC Symposium on Advances in Control Education, Madrid, Spain, June 2006

    Google Scholar 

  2. I. Alvarado, D. Limón, D. Muñoz de la Peña, J.M. Maestre, F. Valencia, H. Scheu, R.R. Negenborn, M.A. Ridao, B. De Schutter, J. Espinosa, W. Marquardt, A comparative analysis of distributed MPC techniques applied to the HD-MPC four tank benchmark. J. Process Control 21(5), 800–815 (June 2011)

    Article  Google Scholar 

  3. E.F. Camacho, C. Bordóns, Model Predictive Control in the Process Industry, 2nd edn. (Springer, London, England, 2004)

    Google Scholar 

  4. K.H. Johansson, The quadruple-tank process: a multivariable laboratory process with an adjustable zero. IEEE Trans. Control Syst. Technol. 8(3), 456–465 (May 2000)

    Article  MathSciNet  Google Scholar 

  5. J.M. Maestre, Distributed Model Predictive Control Based on Game Theory, PhD thesis, Departamento de Ingeniería de Sistemas y Automática, Universidad de Sevilla, Seville, Spain, Nov 2010

    Google Scholar 

  6. J.M. Maestre, D. Muñoz de la Peña, E.F. Camacho, Distributed MPC: a supply chain case study, in Proceedings of the joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Dec 2009

    Google Scholar 

  7. J.M. Maestre, D. Muñoz de la Peña, E.F. Camacho, Distributed model predictive control based on a cooperative game. Optimal Control Appl. Methods 32(2), 153–176, Mar/Apr 2011

    Google Scholar 

  8. J.M. Maestre, D. Muñoz de la Peña, E.F. Camacho, A distributed MPC scheme with low communication requirements, in Proceedings of the American Control Conference, pp. 2797–2802, June 2009

    Google Scholar 

  9. J.M. Maestre, D. Muñoz de la Peña, E.F. Camacho, T. Álamo, Distributed model predictive control based on agent negotiation. J. Process Control 21(5), 685–697 (June 2011)

    Article  Google Scholar 

  10. F.J. Muros, J.M. Maestre, E.F. Camacho, Estudio de robustez frente a retardos y pérdida de datos de una estrategia dmpc basada en pocos ciclos de comunicación (In Actas de las XXIX Jornadas de Automática, Tarragona, Spain, Sept, 2008)

    Google Scholar 

  11. S. Rakovic, E. De Santis, P. Caravani, Invariant equilibria of polytopic games via optimized robust control invariance, in Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference, pp. 7686–7691, Seville, Spain, Dec 2005

    Google Scholar 

  12. S. Rakovic, E. Kerrigan, K. Kouramas, D. Mayne, Robust MPC for nonlinear discrete-time systems. IEEE Trans. Automat. Control 50, 406–410 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

Financial support from the HYCON2 EU-project from the ICT-FP7 and MEC-Spain, DPI2008-05818, and F.P.I. grants is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. M. Maestre .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Maestre, J.M., Muros, F.J., Fele, F., Peña, D.M.d., Camacho, E.F. (2014). Distributed MPC Based on a Team Game. In: Maestre, J., Negenborn, R. (eds) Distributed Model Predictive Control Made Easy. Intelligent Systems, Control and Automation: Science and Engineering, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7006-5_25

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-7006-5_25

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7005-8

  • Online ISBN: 978-94-007-7006-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics