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URN to cite this document: urn:nbn:de:bvb:703-epub-6976-8
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)
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ISSN 0926-6003
DOI der Verlagsversion: https://doi.org/10.1007/s10589-022-00398-4
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Project information
| Project title: |
Project's official title Project's id Performance Analysis for Distributed and Multiobjective Model Predictive Control Gr 1569/13-2 |
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| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
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.
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