Pérez Soler, E.; Ariño Latorre, CV.; Blasco Ferragud, FX.; Martínez Iranzo, MA. (2012). Explicit predictive control with non-convex polyhedral constraints. Automatica. 48(2):419-424. doi:10.1016/j.automatica.2011.07.011
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/33689
Title:
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Explicit predictive control with non-convex polyhedral constraints
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Author:
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Pérez Soler, Emilio
Ariño Latorre, Carlos Vicente
Blasco Ferragud, Francesc Xavier
Martínez Iranzo, Miguel Andrés
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Automática e Informática Industrial - Institut Universitari d'Automàtica i Informàtica Industrial
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Issued date:
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Abstract:
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This paper proposes an explicit solution to the model predictive control of linear systems subject to
non-convex polyhedral constraints. These constraints are modeled as the union of a finite number of
convex polyhedra. ...[+]
This paper proposes an explicit solution to the model predictive control of linear systems subject to
non-convex polyhedral constraints. These constraints are modeled as the union of a finite number of
convex polyhedra. The algorithm is based on calculating the explicit solution to a modified problem
with linear constraints defined as the convex hull of the original ones and classifying its regions by their
relation with the regions of the explicit solution to the original problem. Some of the regions are divided,
and a procedure based on sum-of-squares programming is designed to determine which of the possible
solutions are in fact optimal. Finally, the online algorithm is shown to be better in terms of computational
cost and memory requirements than an algorithm based on obtaining and comparing the solutions of the
problem using as constraints the polyhedra whose union forms the non-convex regions, both theoretically
and by the results of an example
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Subjects:
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Model predictive control
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Multiparametric programming
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Non-convex constraints
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Sum of squares
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Automatica. (issn:
0005-1098
)
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DOI:
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10.1016/j.automatica.2011.07.011
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Publisher:
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International Federation of Automatic Control
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Publisher version:
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http://dx.doi.org/10.1016/j.automatica.2011.07.011
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Project ID:
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DPI Ministerio de Ciencia e Innovacion-Spanish Government [DPI2008-02133, DPI2008-06731-C02-01, DPI2008-06731-C02-02]
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Thanks:
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This work was partially funded by projects DPI2008-02133 and DPI2008-06731-C02-01(and -02)/DPI Ministerio de Ciencia e Innovacion-Spanish Government.
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Type:
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Artículo
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