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Asymptotic stability and transient optimality of economic MPC without terminal conditions

Title data

Grüne, Lars ; Stieler, Marleen:
Asymptotic stability and transient optimality of economic MPC without terminal conditions.
In: Journal of Process Control. Vol. 24 (2014) Issue 8 . - pp. 1187-1196.
ISSN 0959-1524
DOI: https://doi.org/10.1016/j.jprocont.2014.05.003

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Official URL: Volltext

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Project information

Project title:
Project's official titleProject'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 in another language

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: Article in a journal
Refereed: Yes
Keywords: economic MPC; practical asymptotic stability; transient performance; controllability; stabilizability
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)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 24 Mar 2015 08:30
Last Modified: 24 Mar 2015 08:30
URI: https://eref.uni-bayreuth.de/id/eprint/9235

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