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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
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)
264735-SADCO
International Doctorate Program "Identification, Optimization and Control with Applications in Modern Technologies"
K-NW-2004-143
Project financing: 7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union
Elite Network of Bavaria

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: 01 Jun 2021 09:49
URI: https://epub.uni-bayreuth.de/id/eprint/1926
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