Title data
Grüne, Lars ; Stieler, Marleen:
Multiobjective Model Predictive Control for Stabilizing Cost Criteria.
In: Discrete and Continuous Dynamical Systems. Series B.
Vol. 24
(2019)
Issue 8
.
- pp. 3905-3928.
ISSN 1531-3492
DOI: https://doi.org/10.3934/dcdsb.2018336
This is the latest version of this item.
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Project information
Project title: |
Project's official title Project's id DFG-Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control" GR 1569/13-1 |
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Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
In this paper we demonstrate how multiobjective optimal control problems can be solved by means of model predictive control. For our analysis we restrict ourselves to finite-dimensional control systems in discrete time. We show that convergence of the MPC closed-loop trajectory as well as upper bounds on the closed-loop performance for all objectives can be established if the ‘right’ Pareto-optimal control sequence is chosen in the iterations. It turns out that approximating the whole Pareto front is not necessary for that choice. Moreover, we provide statements on the relation of the MPC performance to the values of Pareto-optimal solutions on the infinite horizon, i.e. we investigate on the inifinite-horizon optimality of our MPC controller.
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Multiobjective Model Predictive Control for Stabilizing Cost Criteria. (deposited 21 Apr 2018 21:00)
- Multiobjective Model Predictive Control for Stabilizing Cost Criteria. (deposited 01 Feb 2019 11:46) [Currently Displayed]