Economic Nonlinear Model Predictive Control

URN to cite this document: urn:nbn:de:bvb:703-epub-3591-3

Title data

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

This is the latest version of this item.

Format:	PDF (Corrected Preprint (Typos in eq. (4.4) and (4.7) fixed))
Name:	EMPC_Preprint.pdf
Version:	Preprint
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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-3591-3
Date Deposited:	07 Mar 2018 08:16
Last Modified:	28 Mar 2019 09:46
URI:	https://epub.uni-bayreuth.de/id/eprint/3591

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)
  - Economic Nonlinear Model Predictive Control. (deposited 07 Mar 2018 08:16) [Currently Displayed]