Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPC
J. Hahn, und O. Stursberg.
Proc. of the 22nd IFAC World Congress 56 (2): 10421-10427 (2023)

This paper addresses model predictive control of a class of linear systems subject to additive stochastic disturbances and constraints. The underlying stochastic optimal control problem combines inverse cumulative distribution functions with ellipsoid-in-polyhedron formulations to reduce the conservatism induced by constraint satisfaction. By use of terminal constraints and time-varying weights within the cost functional, the presented control scheme satisfies criteria for mean-square stability and can be adapted to reference-tracking problems for arbitrary reference signals.

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https://www.sciencedirect.com/science/article/pii/S2405896323014593

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@article{hahn2023reference,
  abstract = {This paper addresses model predictive control of a class of linear systems subject to additive stochastic disturbances and constraints. The underlying stochastic optimal control problem combines inverse cumulative distribution functions with ellipsoid-in-polyhedron formulations to reduce the conservatism induced by constraint satisfaction. By use of terminal constraints and time-varying weights within the cost functional, the presented control scheme satisfies criteria for mean-square stability and can be adapted to reference-tracking problems for arbitrary reference signals.},
  added-at = {2023-05-05T12:11:28.000+0200},
  author = {Hahn, J. and Stursberg, O.},
  biburl = {https://puma.uni-kassel.de/bibtex/285b51c4012a40e108c91329908c89917/00965820},
  doi = {https://doi.org/10.1016/j.ifacol.2023.10.1057},
  interhash = {593a63dbd657431e96daf77e254c3fab},
  intrahash = {85b51c4012a40e108c91329908c89917},
  journal = {Proc. of the 22nd IFAC World Congress},
  keywords = {control isac-www},
  number = 2,
  pages = {10421-10427},
  timestamp = {2023-12-12T09:30:40.000+0100},
  title = {Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPC},
  url = {https://www.sciencedirect.com/science/article/pii/S2405896323014593},
  volume = 56,
  year = 2023
}

%0 Journal Article
%1 hahn2023reference
%A Hahn, J.
%A Stursberg, O.
%D 2023
%J Proc. of the 22nd IFAC World Congress
%K control isac-www
%N 2
%P 10421-10427
%R https://doi.org/10.1016/j.ifacol.2023.10.1057
%T Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPC
%U https://www.sciencedirect.com/science/article/pii/S2405896323014593
%V 56
%X This paper addresses model predictive control of a class of linear systems subject to additive stochastic disturbances and constraints. The underlying stochastic optimal control problem combines inverse cumulative distribution functions with ellipsoid-in-polyhedron formulations to reduce the conservatism induced by constraint satisfaction. By use of terminal constraints and time-varying weights within the cost functional, the presented control scheme satisfies criteria for mean-square stability and can be adapted to reference-tracking problems for arbitrary reference signals.

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Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPC
J. Hahn, und O. Stursberg.
Proc. of the 22nd IFAC World Congress 56 (2): 10421-10427 (2023)

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Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPCJ. Hahn, und O. Stursberg. Proc. of the 22nd IFAC World Congress 56 (2): 10421-10427 (2023)

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Reference Tracking for Constrained Uncertain Linear Systems by Stochastic MPC
J. Hahn, und O. Stursberg.
Proc. of the 22nd IFAC World Congress 56 (2): 10421-10427 (2023)