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Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations

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2021

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Grüne, Lars
Pirkelmann, Simon

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Mathematical Control and Related Fields (MCRF). American Institute of Mathematical Sciences (AIMS). 2021, 11(3), pp. 579-599. ISSN 2156-8472. eISSN 2156-8499. Available under: doi: 10.3934/mcrf.2021013

Zusammenfassung

In this paper performance indices for economic model predictive controllers (MPC) are considered. Since existing relative performance measures, designed for stabilizing controllers, fail in the economic setting, we propose alternative absolute quantities. We show that these can be applied to assess the performance of the closed loop trajectories on-line while the controller is running. The advantages of our approach are demonstrated by simulations involving a convection-diffusion-system. The method is also combined with proper orthogonal decomposition, thus demonstrating the possibility for both efficient and performant MPC for systems governed by partial differential equations.

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510 Mathematik

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ISO 690GRÜNE, Lars, Luca MECHELLI, Simon PIRKELMANN, Stefan VOLKWEIN, 2021. Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. In: Mathematical Control and Related Fields (MCRF). American Institute of Mathematical Sciences (AIMS). 2021, 11(3), pp. 579-599. ISSN 2156-8472. eISSN 2156-8499. Available under: doi: 10.3934/mcrf.2021013
BibTex
@article{Grune2021Perfo-45830.2,
  year={2021},
  doi={10.3934/mcrf.2021013},
  title={Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations},
  number={3},
  volume={11},
  issn={2156-8472},
  journal={Mathematical Control and Related Fields (MCRF)},
  pages={579--599},
  author={Grüne, Lars and Mechelli, Luca and Pirkelmann, Simon and Volkwein, Stefan}
}
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