Title data
Eichfelder, Gabriele ; Grüne, Lars ; Krügel, Lisa ; Schießl, Jonas:
Relaxed assumptions and a simplified algorithm for multiobjective MPC.
Bayreuth ; Ilmenau
,
2022
.  37 p.
DOI: https://doi.org/10.48550/arXiv.2202.08560
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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 1569/132 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
We consider nonlinear model predictive control (MPC) with multiple competing cost functions. 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 and we also examine numerically how different selection rules impact the results.
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Relaxed assumptions and a simplified algorithm for multiobjective MPC. (deposited 23 Feb 2022 09:02)
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