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Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC

Title data

Eichfelder, Gabriele ; Grüne, Lars ; Krügel, Lisa ; Schießl, Jonas:
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC.
In: Computational Optimization and Applications. (26 July 2022) .
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-022-00398-4

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Project information

Project title:
Project's official titleProject's id
Performance Analysis for Distributed and Multiobjective Model Predictive ControlGr 1569/13-2

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We consider nonlinear model predictive control (MPC) with multiple competing cost func- tions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an algorithm and give performance guarantees for the resulting MPC closed loop system. Thereby, we significantly simplify the assumptions made in the literature so far by assuming strict dissipativity and the existence of a compatible terminal cost for one of the competing objective functions only. We give conditions which ensure asymptotic stability of the closed loop and, what is more, obtain performance estimates for all cost criteria. Numerical simulations on various instances illustrate our findings. The proposed algorithm requires the selection of an efficient solution in each iteration, thus we examine several selection rules and their impact on the results.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Multiobjective Model Predictive Control; Multiobjective Optimal Control
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 Institutions > Research Centres
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 28 Jul 2022 06:28
Last Modified: 12 Oct 2022 07:41
URI: https://eref.uni-bayreuth.de/id/eprint/70746

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