Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Economic Model Predictive Control

  • David Angeli
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_6-1


Economic Model Predictive Control (EMPC) is a variant of Model Predictive Control aimed at maximization of system’s profitability. It allows one to explicitly deal with hard and average constraints on system’s input and output variables as well as with nonlinearity of dynamics. We provide basic definitions and concepts of the approach and highlight some promising research directions.


Profit maximization Constrained systems Dynamic programming 
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  1. Amrit R, Rawlings JB, Angeli D (2011) Economic optimization using model predictive control with a terminal cost. Annu Rev Control 35:178–186CrossRefGoogle Scholar
  2. Angeli D, Amrit R, Rawlings JB (2011) Enforcing convergence in nonlinear economic MPC. Paper presented at the 50th IEEE conference on decision and control and european control conference (CDC-ECC), Orlando 12–15 Dec 2011Google Scholar
  3. Angeli D, Amrit R, Rawlings JB (2012) On average performance and stability of economic model predictive control. IEEE Trans Autom Control 57:1615–1626CrossRefMathSciNetGoogle Scholar
  4. Diehl M, Amrit R, Rawlings JB (2011) A Lyapunov function for economic optimizing model predictive control. IEEE Trans Autom Control 56:703–707CrossRefMathSciNetGoogle Scholar
  5. Fagiano L, Teel A (2012) Model predictive control with generalized terminal state constraint. Paper presented at the IFAC conference on nonlinear model predictive control, Noordwijkerhout 23–27 Aug 2012Google Scholar
  6. Grüne L (2012) Economic MPC and the role of exponential turnpike properties. Oberwolfach Rep 12:678–681Google Scholar
  7. Grüne L (2013) Economic receding horizon control without terminal constraints. Automatica 49:725–734CrossRefMATHGoogle Scholar
  8. Heidarinejad M (2012) Economic model predictive control of nonlinear process systems using Lyapunov techniques. AIChe J 58:855–870CrossRefGoogle Scholar
  9. Hovgaard TG, Edlund K, Bagterp Jorgensen J (2010) The potential of Economic MPC for power management. Paper presented at the 49th IEEE conference on decision and control, Atlanta 15–17 Dec 2010Google Scholar
  10. MA J, Joe Qin S, Li B et al (2011) Economic model predictive control for building energy systems. Paper presented at the IEEE innovative smart grid technology conference, Anaheim, 17–19 Jan 2011Google Scholar
  11. Müller MA, Angeli D, Allgöwer F (2013a) On convergence of averagely constrained economic MPC and necessity of dissipativity for optimal steady-state operation. Paper presented at the 2013 IEEE American control conference, Washington DC, 17–19 June 2013Google Scholar
  12. Müller MA, Angeli D, Allgöwer F (2013b) Economic model predictive control with self-tuning terminal weight. Eur J Control 19:408–416CrossRefGoogle Scholar
  13. Rawlings JB, Amrit R (2009) Optimizing process economic performance using model predictive control. In: Magni L, Raimondo DM, Allgöwer F (eds) Nonlinear model predictive control. Lecture notes in control and information Sciences, vol 384. Springer, Berlin, pp 119–138CrossRefGoogle Scholar
  14. Rawlings JB, Bonne D, Jorgensen JB et al (2008) Unreachable setpoints in model predictive control. IEEE Trans Autom Control 53:2209–2215CrossRefMathSciNetGoogle Scholar
  15. Rawlings JB, Angeli D, Bates CN (2012) Fundamentals of economic model predictive control. Paper presented at the IEEE 51st annual conference on decision and control (CDC), Maui 10–13 Dec 2012Google Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.Dept. of Electrical and Electronic Engineering, Imperial College LondonLondonUK