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 09266003
DOI: https://doi.org/10.1007/s10589022003984
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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.
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Relaxed assumptions and a simplified algorithm for multiobjective MPC. (deposited 23 Feb 2022 09:02)

Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. (deposited 01 Jul 2022 06:47)
 Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. (deposited 28 Jul 2022 06:28) [Currently Displayed]

Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. (deposited 01 Jul 2022 06:47)