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Region-free Explicit Model-Predictive Control for Linear Systems on Hilbert Spaces

Tutkimustuotos: LehtiartikkeliArtikkeliTieteellinenvertaisarvioitu

5 Sitaatiot (Scopus)
93 Lataukset (Pure)

Abstrakti

In this article, we extend discrete-time explicit model-predictive control (MPC) rigorously to linear distributed parameter systems. After formulating an MPC framework and giving a relevant Karush-Kuhn-Tucker theorem, we realize fast regionless explicit MPC by using the dual-active-set method QPKWIK. A Timoshenko beam with input and state constraints is used to demonstrate the efficacy of the design at controlling a continuous-time hyperbolic partial differential equation with constraints, using a discrete-time explicit MPC controller.

AlkuperäiskieliEnglanti
Artikkeli1
Sivut518-525
Sivumäärä8
JulkaisuIEEE Transactions on Automatic Control
Vuosikerta70
Numero1
DOI - pysyväislinkit
TilaJulkaistu - tammik. 2025
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Rahoitus

The work of Jukka-Pekka Humaloja was supported in part by the Jenny and Antti Wihuri Foundation and in part by the Vilho, Yrj\u00F6 and Kalle V\u00E4is\u00E4l\u00E4 Foundation. The authors would like to gratefully acknowledge the input of the audience at the 2022 International Symposium on Mathematical Theory of Networks and Systems, and Prof. Martin M\u00F6nnigmann, Prof. Mark Cannon, Prof. Eric Kerrigan, and Prof. Tor Arne Johansen, for enlightening discussions during the preparation of this manuscript. An anonymous referee pointed out [27], leading to a major improvement of Theorem 5.

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