Economic Nonlinear Model Predictive Control

URN to cite this document: urn:nbn:de:bvb:703-epub-3527-3

Title data

Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
Bayreuth , 2017 . - 93 S.

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Format:	PDF
Name:	EMPC_Preprint.pdf
Version:	Preprint
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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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"	GR 1569/13-1
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

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:	Preprint, postprint
Keywords:	performance; stability; terminal constraints; terminal penalty; turnpike property; generalized terminal constraints; Lyapunov-based; multiobjective
DDC Subjects:	500 Science > 510 Mathematics
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 > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS) Research Institutions Research Institutions > Research Centres
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3527-3
Date Deposited:	04 Dec 2017 07:27
Last Modified:	28 Mar 2019 09:47
URI:	https://epub.uni-bayreuth.de/id/eprint/3527

Available Versions of this Item

Economic Nonlinear Model Predictive Control. (deposited 29 May 2017 08:31)
- Economic Nonlinear Model Predictive Control. (deposited 04 Dec 2017 07:27) [Currently Displayed]
  - Economic Nonlinear Model Predictive Control. (deposited 07 Mar 2018 08:16)