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Economic Nonlinear Model Predictive Control

Title data

Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
In: Foundations and Trends® in Systems and Control. Vol. 5 (2018) Issue 1 . - pp. 1-98.
ISSN 2325-6826
DOI: https://doi.org/10.1561/2600000014

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Project information

Project title:
Project's official title
Project's id
DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"
GR1569/13-1
DFG-Project "Model Predictive Control for the Fokker-Planck Equation"
GR 1569/15-1
DFG-Project "Model predictive PDE control for energy efficient building operation: Economic model predictive control and time varying systems"
GR 1569/16-1
DFG-Project "Regulation of Mobile Robots using Model Predictive Control: Set Point Stabilization, Path Following, and Distributed Control"
WO 2056/1-1
DFG-Project "Regulation of Mobile Robots using Model Predictive Control: Beyond Set Point Stabilization"
WO 2056/4-1
Helmholtz Association, Joint Initiative "Energy System 2050 – A Contribution of the Research Field Energy"
No information
Baden-Württemberg Stiftung, Elite Programme for Postdocs
No information
Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

Abstract: In recent years, Economic Model Predictive Control (empc) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in empc. In this context empc is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives.
This survey provides a comprehensive overview of empc stability results: with and without terminal constraints, with and without dissipativtiy assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches. Moreover, we compare different performance criteria for some of the considered approaches and comment on the connections to recent research on dissipativity of optimal control problems. We consider a discrete-time setting and point towards continuous-time variants. We illustrate the different empc schemes with several examples.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: The published version and the earlier versions of the preprint have a typo in eqs. (4.4) and (4.7). In both formulas, the first argument of \beta should read || x_0 - x_s ||.
Keywords: performance; stability; terminal constraints; terminal penalty; turnpike property; generalized terminal constraints; Lyapunov-based; multiobjective
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Research Institutions
Research Institutions > Central research institutes
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 18 Jan 2018 07:52
Last Modified: 13 Jun 2023 13:07
URI: https://eref.uni-bayreuth.de/id/eprint/41729

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