Efficiently Solving the Harmonic Model Predictive Control Formulation Article Swipe
Pablo Krupa
,
Daniel Limón
,
Alberto Bemporad
,
Teodoro Álamo
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1109/tac.2022.3220555
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1109/tac.2022.3220555
Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation that displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the expense of an optimization problem that is no longer the typical quadratic programming problem derived from most linear MPC formulations due to the inclusion of a particular class of second-order cone constraints. This article presents a method for efficiently dealing with these constraints in operator splitting methods, leading to a computation time for solving HMPC in line with state-of-the-art solvers for linear MPC. We show how to apply this result to the alternating direction method of the multipliers algorithm, presenting a solver that we compare against other solvers from the literature, including solvers for other linear MPC formulations. The results show that the proposed solver, and by extension the HMPC formulation, is suitable for its implementation in embedded systems.
Related Topics
Concepts
Model predictive control
Solver
Quadratic programming
Computer science
Mathematical optimization
Computation
Optimal control
Operator (biology)
Linear programming
Quadratic equation
Linear system
Control theory (sociology)
Mathematics
Algorithm
Control (management)
Artificial intelligence
Mathematical analysis
Transcription factor
Geometry
Gene
Chemistry
Biochemistry
Repressor
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1109/tac.2022.3220555
- OA Status
- green
- Cited By
- 7
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4309182491
All OpenAlex metadata
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https://openalex.org/W4309182491Canonical identifier for this work in OpenAlex
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https://doi.org/10.1109/tac.2022.3220555Digital Object Identifier
- Title
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Efficiently Solving the Harmonic Model Predictive Control FormulationWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-08-29Full publication date if available
- Authors
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Pablo Krupa, Daniel Limón, Alberto Bemporad, Teodoro ÁlamoList of authors in order
- Landing page
-
https://doi.org/10.1109/tac.2022.3220555Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://doi.org/10.1109/TAC.2022.3220555Direct OA link when available
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Model predictive control, Solver, Quadratic programming, Computer science, Mathematical optimization, Computation, Optimal control, Operator (biology), Linear programming, Quadratic equation, Linear system, Control theory (sociology), Mathematics, Algorithm, Control (management), Artificial intelligence, Mathematical analysis, Transcription factor, Geometry, Gene, Chemistry, Biochemistry, RepressorTop concepts (fields/topics) attached by OpenAlex
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7Total citation count in OpenAlex
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2025: 2, 2024: 4, 2021: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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