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Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

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Original languageEnglish
Title of host publication2024 IEEE 63rd Conference on Decision and Control, CDC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6553-6559
Number of pages7
ISBN (electronic)9798350316339
ISBN (print)979-8-3503-1634-6
Publication statusPublished - 16 Dec 2024
Event63rd IEEE Conference on Decision and Control, CDC 2024 - Milan, Italy
Duration: 16 Dec 202419 Dec 2024

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (electronic)2576-2370

Abstract

This article develops a control method for linear time-invariant systems subject to time-varying and a priori unknown cost functions, that satisfies state and input constraints, and is robust to exogenous disturbances. To this end, we combine the online convex optimization framework with a reference governor and a constraint tightening approach. The proposed framework guarantees recursive feasibility and robust constraint satisfaction. Its closed-loop performance is studied in terms of its dynamic regret, which is bounded linearly by the variation of the cost functions and the magnitude of the disturbances. The proposed method is illustrated by a numerical case study of a tracking control problem.

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Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor. / Nonhoff, Marko; Torshan, Mohammad T.Al; Muller, Matthias A.
2024 IEEE 63rd Conference on Decision and Control, CDC 2024. Institute of Electrical and Electronics Engineers Inc., 2024. p. 6553-6559 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Nonhoff, M, Torshan, MTA & Muller, MA 2024, Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor. in 2024 IEEE 63rd Conference on Decision and Control, CDC 2024. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6553-6559, 63rd IEEE Conference on Decision and Control, CDC 2024, Milan, Italy, 16 Dec 2024. https://doi.org/10.1109/CDC56724.2024.10886274
Nonhoff, M., Torshan, M. T. A., & Muller, M. A. (2024). Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor. In 2024 IEEE 63rd Conference on Decision and Control, CDC 2024 (pp. 6553-6559). (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC56724.2024.10886274
Nonhoff M, Torshan MTA, Muller MA. Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor. In 2024 IEEE 63rd Conference on Decision and Control, CDC 2024. Institute of Electrical and Electronics Engineers Inc. 2024. p. 6553-6559. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC56724.2024.10886274
Nonhoff, Marko ; Torshan, Mohammad T.Al ; Muller, Matthias A. / Robust Control of Constrained Linear Systems using Online Convex Optimization and a Reference Governor. 2024 IEEE 63rd Conference on Decision and Control, CDC 2024. Institute of Electrical and Electronics Engineers Inc., 2024. pp. 6553-6559 (Proceedings of the IEEE Conference on Decision and Control).
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