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Asymptotic stability and transient optimality of economic MPC without terminal conditions

URN to cite this document: urn:nbn:de:bvb:703-epub-1926-5

Title data

Grüne, Lars ; Stieler, Marleen:
Asymptotic stability and transient optimality of economic MPC without terminal conditions.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 28 S.

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Project information

Project title:	Project's official title Project's id SADCO - Sensitivity Analysis for Deterministic Controller Design 264735 Identifikation, Optimierung und Steuerung für technische Anwendungen K-NW-2004-143
Project financing:	7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Elite Network of Bavaria Marie-Curie Initial Training Network

Abstract

We consider an economic nonlinear model predictive control scheme without terminal constraints or costs. We give conditions based on dissipativity and controllability properties under which the closed loop is practically asymptotically stable. Under the same conditions we prove approximate transient optimality of the closed loop on finite time intervals. Two numerical examples illustrate our theoretical findings.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Journal of Process Control. Bd. 24 (2014) Heft 8 . - S. 1187-1196. DOI: https://doi.org/10.1016/j.jprocont.2014.05.003
Keywords:	economic MPC; practical asymptotic stability; transient performance; controllability; stabilizability
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) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-1926-5
Date Deposited:	20 Mar 2015 09:56
Last Modified:	16 Dec 2025 07:20
URI:	https://epub.uni-bayreuth.de/id/eprint/1926

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