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Authors: Sorin Olaru 1 ; Didier Dumur 1 and Simona Dobre 2

Affiliations: 1 Supélec, France ; 2 CRAN, Nancy - Université, France

Keyword(s): Predictive control, parameterized polyhedra, explicit control laws.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: This paper proposes a geometrical analysis of the polyhedral feasible domains for the predictive control laws under constraints. The fact that the system dynamics influence the topology of such polyhedral domains is well known from the studies dedicated to the feasibility of the control laws. Formally the system state acts as a vector of parameters for the optimization problem to be solved on-line and its influence can be fully described by the use of parameterized polyhedra and their dual constraints/generators representation. Problems like the constraints redundancy or the construction of the associated explicit control laws at least for linear or quadratic cost functions can thus receive fully geometrical solutions. Convex nonlinear constraints can be approximated using a description based on the parameterized vertices. In the case of nonconvex regions the explicit solutions can be obtain by constructing Voronoi partitions based on a collection of points distributed over the bord ers of the feasible domain. (More)

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Paper citation in several formats:
Olaru, S.; Dumur, D. and Dobre, S. (2007). EXPLICIT PREDICTIVE CONTROL LAWS - On the Geometry of Feasible Domains and the Presence of Nonlinearities. In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-972-8865-84-9; ISSN 2184-2809, SciTePress, pages 70-77. DOI: 10.5220/0001633200700077

@conference{icinco07,
author={Sorin Olaru. and Didier Dumur. and Simona Dobre.},
title={EXPLICIT PREDICTIVE CONTROL LAWS - On the Geometry of Feasible Domains and the Presence of Nonlinearities},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2007},
pages={70-77},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001633200700077},
isbn={978-972-8865-84-9},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - EXPLICIT PREDICTIVE CONTROL LAWS - On the Geometry of Feasible Domains and the Presence of Nonlinearities
SN - 978-972-8865-84-9
IS - 2184-2809
AU - Olaru, S.
AU - Dumur, D.
AU - Dobre, S.
PY - 2007
SP - 70
EP - 77
DO - 10.5220/0001633200700077
PB - SciTePress

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